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Finding the Fourth Proportional to 3,003.84, 4,470.84 and 2,980.08

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Solution

The fourth proportional to 3,003.84, 4,470.84 and 2,980.08 is: 4,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.84 : 4,470.84 = 2,980.08 : x
  2. Step 2: Convert to fraction form
    3,003.84/4,470.84 = 2,980.08/x
  3. Step 3: Cross multiply
    3,003.84x = 4,470.84 × 2,980.08
  4. Step 4: Simplify right side
    3,003.84x = 13,323,460.87
  5. Step 5: Solve for x
    x = 13,323,460.87/3,003.84
  6. Step 6: Final answer
    x = 4,435.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.