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Finding the Fourth Proportional to 3,658.96, 5,488.35 and 1,061.89

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Solution

The fourth proportional to 3,658.96, 5,488.35 and 1,061.89 is: 1,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.96 : 5,488.35 = 1,061.89 : x
  2. Step 2: Convert to fraction form
    3,658.96/5,488.35 = 1,061.89/x
  3. Step 3: Cross multiply
    3,658.96x = 5,488.35 × 1,061.89
  4. Step 4: Simplify right side
    3,658.96x = 5,828,023.98
  5. Step 5: Solve for x
    x = 5,828,023.98/3,658.96
  6. Step 6: Final answer
    x = 1,592.81

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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.