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Finding the Fourth Proportional to 4,658.85, 6,429.58 and 2,669.90

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Solution

The fourth proportional to 4,658.85, 6,429.58 and 2,669.90 is: 3,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.85 : 6,429.58 = 2,669.90 : x
  2. Step 2: Convert to fraction form
    4,658.85/6,429.58 = 2,669.90/x
  3. Step 3: Cross multiply
    4,658.85x = 6,429.58 × 2,669.90
  4. Step 4: Simplify right side
    4,658.85x = 17,166,296.82
  5. Step 5: Solve for x
    x = 17,166,296.82/4,658.85
  6. Step 6: Final answer
    x = 3,684.66

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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.