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Finding the Fourth Proportional to 5,572.16, 7,689.28 and 3,088

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Solution

The fourth proportional to 5,572.16, 7,689.28 and 3,088 is: 4,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.16 : 7,689.28 = 3,088 : x
  2. Step 2: Convert to fraction form
    5,572.16/7,689.28 = 3,088/x
  3. Step 3: Cross multiply
    5,572.16x = 7,689.28 × 3,088
  4. Step 4: Simplify right side
    5,572.16x = 23,744,496.64
  5. Step 5: Solve for x
    x = 23,744,496.64/5,572.16
  6. Step 6: Final answer
    x = 4,261.27

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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.