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Finding the Fourth Proportional to 5,262.52, 7,848.04 and 5,191.90

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Solution

The fourth proportional to 5,262.52, 7,848.04 and 5,191.90 is: 7,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.52 : 7,848.04 = 5,191.90 : x
  2. Step 2: Convert to fraction form
    5,262.52/7,848.04 = 5,191.90/x
  3. Step 3: Cross multiply
    5,262.52x = 7,848.04 × 5,191.90
  4. Step 4: Simplify right side
    5,262.52x = 40,746,216.01
  5. Step 5: Solve for x
    x = 40,746,216.01/5,262.52
  6. Step 6: Final answer
    x = 7,742.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.