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Finding the Fourth Proportional to 3,526.74, 4,864.86 and 2,864.16

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Solution

The fourth proportional to 3,526.74, 4,864.86 and 2,864.16 is: 3,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.74 : 4,864.86 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    3,526.74/4,864.86 = 2,864.16/x
  3. Step 3: Cross multiply
    3,526.74x = 4,864.86 × 2,864.16
  4. Step 4: Simplify right side
    3,526.74x = 13,933,737.42
  5. Step 5: Solve for x
    x = 13,933,737.42/3,526.74
  6. Step 6: Final answer
    x = 3,950.88

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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.