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Finding the Fourth Proportional to 5,698.72, 8,539.88 and 2,407.29

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Solution

The fourth proportional to 5,698.72, 8,539.88 and 2,407.29 is: 3,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.72 : 8,539.88 = 2,407.29 : x
  2. Step 2: Convert to fraction form
    5,698.72/8,539.88 = 2,407.29/x
  3. Step 3: Cross multiply
    5,698.72x = 8,539.88 × 2,407.29
  4. Step 4: Simplify right side
    5,698.72x = 20,557,937.21
  5. Step 5: Solve for x
    x = 20,557,937.21/5,698.72
  6. Step 6: Final answer
    x = 3,607.46

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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.