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Finding the Fourth Proportional to 4,658.86, 6,989.50 and 1,737.19

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Solution

The fourth proportional to 4,658.86, 6,989.50 and 1,737.19 is: 2,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.86 : 6,989.50 = 1,737.19 : x
  2. Step 2: Convert to fraction form
    4,658.86/6,989.50 = 1,737.19/x
  3. Step 3: Cross multiply
    4,658.86x = 6,989.50 × 1,737.19
  4. Step 4: Simplify right side
    4,658.86x = 12,142,074.20
  5. Step 5: Solve for x
    x = 12,142,074.20/4,658.86
  6. Step 6: Final answer
    x = 2,606.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.