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Finding the Fourth Proportional to 5,051.92, 7,570.04 and 3,402.64

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Solution

The fourth proportional to 5,051.92, 7,570.04 and 3,402.64 is: 5,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.92 : 7,570.04 = 3,402.64 : x
  2. Step 2: Convert to fraction form
    5,051.92/7,570.04 = 3,402.64/x
  3. Step 3: Cross multiply
    5,051.92x = 7,570.04 × 3,402.64
  4. Step 4: Simplify right side
    5,051.92x = 25,758,120.91
  5. Step 5: Solve for x
    x = 25,758,120.91/5,051.92
  6. Step 6: Final answer
    x = 5,098.68

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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.