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Finding the Fourth Proportional to 5,624.73, 7,762.29 and 3,107.15

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Solution

The fourth proportional to 5,624.73, 7,762.29 and 3,107.15 is: 4,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.73 : 7,762.29 = 3,107.15 : x
  2. Step 2: Convert to fraction form
    5,624.73/7,762.29 = 3,107.15/x
  3. Step 3: Cross multiply
    5,624.73x = 7,762.29 × 3,107.15
  4. Step 4: Simplify right side
    5,624.73x = 24,118,599.37
  5. Step 5: Solve for x
    x = 24,118,599.37/5,624.73
  6. Step 6: Final answer
    x = 4,287.96

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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.