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Finding the Fourth Proportional to 3,114.59, 4,670.86 and 1,139.77

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Solution

The fourth proportional to 3,114.59, 4,670.86 and 1,139.77 is: 1,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.59 : 4,670.86 = 1,139.77 : x
  2. Step 2: Convert to fraction form
    3,114.59/4,670.86 = 1,139.77/x
  3. Step 3: Cross multiply
    3,114.59x = 4,670.86 × 1,139.77
  4. Step 4: Simplify right side
    3,114.59x = 5,323,706.10
  5. Step 5: Solve for x
    x = 5,323,706.10/3,114.59
  6. Step 6: Final answer
    x = 1,709.28

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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.