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Finding the Fourth Proportional to 4,079.34, 6,117.42 and 1,737.86

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Solution

The fourth proportional to 4,079.34, 6,117.42 and 1,737.86 is: 2,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.34 : 6,117.42 = 1,737.86 : x
  2. Step 2: Convert to fraction form
    4,079.34/6,117.42 = 1,737.86/x
  3. Step 3: Cross multiply
    4,079.34x = 6,117.42 × 1,737.86
  4. Step 4: Simplify right side
    4,079.34x = 10,631,219.52
  5. Step 5: Solve for x
    x = 10,631,219.52/4,079.34
  6. Step 6: Final answer
    x = 2,606.11

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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.