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Finding the Fourth Proportional to 4,658.53, 6,437.99 and 3,817.91

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Solution

The fourth proportional to 4,658.53, 6,437.99 and 3,817.91 is: 5,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.53 : 6,437.99 = 3,817.91 : x
  2. Step 2: Convert to fraction form
    4,658.53/6,437.99 = 3,817.91/x
  3. Step 3: Cross multiply
    4,658.53x = 6,437.99 × 3,817.91
  4. Step 4: Simplify right side
    4,658.53x = 24,579,643.76
  5. Step 5: Solve for x
    x = 24,579,643.76/4,658.53
  6. Step 6: Final answer
    x = 5,276.27

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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.