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Finding the Fourth Proportional to 6,275.76, 8,661.96 and 3,624

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Solution

The fourth proportional to 6,275.76, 8,661.96 and 3,624 is: 5,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.76 : 8,661.96 = 3,624 : x
  2. Step 2: Convert to fraction form
    6,275.76/8,661.96 = 3,624/x
  3. Step 3: Cross multiply
    6,275.76x = 8,661.96 × 3,624
  4. Step 4: Simplify right side
    6,275.76x = 31,390,943.04
  5. Step 5: Solve for x
    x = 31,390,943.04/6,275.76
  6. Step 6: Final answer
    x = 5,001.93

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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.