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Finding the Fourth Proportional to 5,693.16, 8,542.38 and 2,407.02

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Solution

The fourth proportional to 5,693.16, 8,542.38 and 2,407.02 is: 3,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.16 : 8,542.38 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    5,693.16/8,542.38 = 2,407.02/x
  3. Step 3: Cross multiply
    5,693.16x = 8,542.38 × 2,407.02
  4. Step 4: Simplify right side
    5,693.16x = 20,561,679.51
  5. Step 5: Solve for x
    x = 20,561,679.51/5,693.16
  6. Step 6: Final answer
    x = 3,611.65

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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.