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Finding the Fourth Proportional to 3,113.38, 4,670.86 and 1,061.38

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Solution

The fourth proportional to 3,113.38, 4,670.86 and 1,061.38 is: 1,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.38 : 4,670.86 = 1,061.38 : x
  2. Step 2: Convert to fraction form
    3,113.38/4,670.86 = 1,061.38/x
  3. Step 3: Cross multiply
    3,113.38x = 4,670.86 × 1,061.38
  4. Step 4: Simplify right side
    3,113.38x = 4,957,536.69
  5. Step 5: Solve for x
    x = 4,957,536.69/3,113.38
  6. Step 6: Final answer
    x = 1,592.34

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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.