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Finding the Fourth Proportional to 4,632.64, 6,393.18 and 2,815.66

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Solution

The fourth proportional to 4,632.64, 6,393.18 and 2,815.66 is: 3,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.64 : 6,393.18 = 2,815.66 : x
  2. Step 2: Convert to fraction form
    4,632.64/6,393.18 = 2,815.66/x
  3. Step 3: Cross multiply
    4,632.64x = 6,393.18 × 2,815.66
  4. Step 4: Simplify right side
    4,632.64x = 18,001,023.91
  5. Step 5: Solve for x
    x = 18,001,023.91/4,632.64
  6. Step 6: Final answer
    x = 3,885.69

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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.