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Finding the Fourth Proportional to 5,004.80, 7,502.16 and 1,884.32

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Solution

The fourth proportional to 5,004.80, 7,502.16 and 1,884.32 is: 2,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.80 : 7,502.16 = 1,884.32 : x
  2. Step 2: Convert to fraction form
    5,004.80/7,502.16 = 1,884.32/x
  3. Step 3: Cross multiply
    5,004.80x = 7,502.16 × 1,884.32
  4. Step 4: Simplify right side
    5,004.80x = 14,136,470.13
  5. Step 5: Solve for x
    x = 14,136,470.13/5,004.80
  6. Step 6: Final answer
    x = 2,824.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.