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Finding the Fourth Proportional to 4,731.64, 6,527.30 and 2,842.30

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Solution

The fourth proportional to 4,731.64, 6,527.30 and 2,842.30 is: 3,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.64 : 6,527.30 = 2,842.30 : x
  2. Step 2: Convert to fraction form
    4,731.64/6,527.30 = 2,842.30/x
  3. Step 3: Cross multiply
    4,731.64x = 6,527.30 × 2,842.30
  4. Step 4: Simplify right side
    4,731.64x = 18,552,544.79
  5. Step 5: Solve for x
    x = 18,552,544.79/4,731.64
  6. Step 6: Final answer
    x = 3,920.95

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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.