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Finding the Fourth Proportional to 5,624.60, 7,762.68 and 3,387.74

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Solution

The fourth proportional to 5,624.60, 7,762.68 and 3,387.74 is: 4,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.60 : 7,762.68 = 3,387.74 : x
  2. Step 2: Convert to fraction form
    5,624.60/7,762.68 = 3,387.74/x
  3. Step 3: Cross multiply
    5,624.60x = 7,762.68 × 3,387.74
  4. Step 4: Simplify right side
    5,624.60x = 26,297,902.73
  5. Step 5: Solve for x
    x = 26,297,902.73/5,624.60
  6. Step 6: Final answer
    x = 4,675.52

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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.