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Finding the Fourth Proportional to 4,203.57, 6,306.57 and 1,737.93

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Solution

The fourth proportional to 4,203.57, 6,306.57 and 1,737.93 is: 2,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.57 : 6,306.57 = 1,737.93 : x
  2. Step 2: Convert to fraction form
    4,203.57/6,306.57 = 1,737.93/x
  3. Step 3: Cross multiply
    4,203.57x = 6,306.57 × 1,737.93
  4. Step 4: Simplify right side
    4,203.57x = 10,960,377.20
  5. Step 5: Solve for x
    x = 10,960,377.20/4,203.57
  6. Step 6: Final answer
    x = 2,607.40

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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.