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Finding the Fourth Proportional to 5,787.24, 7,985.16 and 3,430.14

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Solution

The fourth proportional to 5,787.24, 7,985.16 and 3,430.14 is: 4,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.24 : 7,985.16 = 3,430.14 : x
  2. Step 2: Convert to fraction form
    5,787.24/7,985.16 = 3,430.14/x
  3. Step 3: Cross multiply
    5,787.24x = 7,985.16 × 3,430.14
  4. Step 4: Simplify right side
    5,787.24x = 27,390,216.72
  5. Step 5: Solve for x
    x = 27,390,216.72/5,787.24
  6. Step 6: Final answer
    x = 4,732.86

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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.