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Finding the Fourth Proportional to 5,480.64, 7,564.16 and 4,087.36

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Solution

The fourth proportional to 5,480.64, 7,564.16 and 4,087.36 is: 5,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.64 : 7,564.16 = 4,087.36 : x
  2. Step 2: Convert to fraction form
    5,480.64/7,564.16 = 4,087.36/x
  3. Step 3: Cross multiply
    5,480.64x = 7,564.16 × 4,087.36
  4. Step 4: Simplify right side
    5,480.64x = 30,917,445.02
  5. Step 5: Solve for x
    x = 30,917,445.02/5,480.64
  6. Step 6: Final answer
    x = 5,641.21

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