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Finding the Fourth Proportional to 3,875.76, 5,348.88 and 2,304.72

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Solution

The fourth proportional to 3,875.76, 5,348.88 and 2,304.72 is: 3,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,348.88 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,348.88 = 2,304.72/x
  3. Step 3: Cross multiply
    3,875.76x = 5,348.88 × 2,304.72
  4. Step 4: Simplify right side
    3,875.76x = 12,327,670.71
  5. Step 5: Solve for x
    x = 12,327,670.71/3,875.76
  6. Step 6: Final answer
    x = 3,180.71

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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.