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Finding the Fourth Proportional to 4,648.29, 6,423.86 and 3,807.66

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Solution

The fourth proportional to 4,648.29, 6,423.86 and 3,807.66 is: 5,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.29 : 6,423.86 = 3,807.66 : x
  2. Step 2: Convert to fraction form
    4,648.29/6,423.86 = 3,807.66/x
  3. Step 3: Cross multiply
    4,648.29x = 6,423.86 × 3,807.66
  4. Step 4: Simplify right side
    4,648.29x = 24,459,855.73
  5. Step 5: Solve for x
    x = 24,459,855.73/4,648.29
  6. Step 6: Final answer
    x = 5,262.12

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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.