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Finding the Fourth Proportional to 5,109.72, 7,660.50 and 4,699.68

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Solution

The fourth proportional to 5,109.72, 7,660.50 and 4,699.68 is: 7,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.72 : 7,660.50 = 4,699.68 : x
  2. Step 2: Convert to fraction form
    5,109.72/7,660.50 = 4,699.68/x
  3. Step 3: Cross multiply
    5,109.72x = 7,660.50 × 4,699.68
  4. Step 4: Simplify right side
    5,109.72x = 36,001,898.64
  5. Step 5: Solve for x
    x = 36,001,898.64/5,109.72
  6. Step 6: Final answer
    x = 7,045.77

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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.