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Finding the Fourth Proportional to 3,640,741.84, 5,024,325.84 and 2,009,252.08

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Solution

The fourth proportional to 3,640,741.84, 5,024,325.84 and 2,009,252.08 is: 2,772,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,741.84 : 5,024,325.84 = 2,009,252.08 : x
  2. Step 2: Convert to fraction form
    3,640,741.84/5,024,325.84 = 2,009,252.08/x
  3. Step 3: Cross multiply
    3,640,741.84x = 5,024,325.84 × 2,009,252.08
  4. Step 4: Simplify right side
    3,640,741.84x = 10,095,137,144,617.75
  5. Step 5: Solve for x
    x = 10,095,137,144,617.75/3,640,741.84
  6. Step 6: Final answer
    x = 2,772,824.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.