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Finding the Fourth Proportional to 4,658.03, 6,437.30 and 3,817.41

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Solution

The fourth proportional to 4,658.03, 6,437.30 and 3,817.41 is: 5,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.03 : 6,437.30 = 3,817.41 : x
  2. Step 2: Convert to fraction form
    4,658.03/6,437.30 = 3,817.41/x
  3. Step 3: Cross multiply
    4,658.03x = 6,437.30 × 3,817.41
  4. Step 4: Simplify right side
    4,658.03x = 24,573,813.39
  5. Step 5: Solve for x
    x = 24,573,813.39/4,658.03
  6. Step 6: Final answer
    x = 5,275.58

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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.