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Finding the Fourth Proportional to 4,658.76, 6,423.84 and 3,397.59

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Solution

The fourth proportional to 4,658.76, 6,423.84 and 3,397.59 is: 4,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.76 : 6,423.84 = 3,397.59 : x
  2. Step 2: Convert to fraction form
    4,658.76/6,423.84 = 3,397.59/x
  3. Step 3: Cross multiply
    4,658.76x = 6,423.84 × 3,397.59
  4. Step 4: Simplify right side
    4,658.76x = 21,825,574.55
  5. Step 5: Solve for x
    x = 21,825,574.55/4,658.76
  6. Step 6: Final answer
    x = 4,684.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.