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Finding the Fourth Proportional to 4,386.50, 6,053.51 and 2,523.50

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Solution

The fourth proportional to 4,386.50, 6,053.51 and 2,523.50 is: 3,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.50 : 6,053.51 = 2,523.50 : x
  2. Step 2: Convert to fraction form
    4,386.50/6,053.51 = 2,523.50/x
  3. Step 3: Cross multiply
    4,386.50x = 6,053.51 × 2,523.50
  4. Step 4: Simplify right side
    4,386.50x = 15,276,032.49
  5. Step 5: Solve for x
    x = 15,276,032.49/4,386.50
  6. Step 6: Final answer
    x = 3,482.51

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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.