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Finding the Fourth Proportional to 5,406.57, 7,461.18 and 3,170.16

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Solution

The fourth proportional to 5,406.57, 7,461.18 and 3,170.16 is: 4,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.57 : 7,461.18 = 3,170.16 : x
  2. Step 2: Convert to fraction form
    5,406.57/7,461.18 = 3,170.16/x
  3. Step 3: Cross multiply
    5,406.57x = 7,461.18 × 3,170.16
  4. Step 4: Simplify right side
    5,406.57x = 23,653,134.39
  5. Step 5: Solve for x
    x = 23,653,134.39/5,406.57
  6. Step 6: Final answer
    x = 4,374.89

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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.