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Finding the Fourth Proportional to 3,898.80, 5,374.76 and 2,405.72

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Solution

The fourth proportional to 3,898.80, 5,374.76 and 2,405.72 is: 3,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.80 : 5,374.76 = 2,405.72 : x
  2. Step 2: Convert to fraction form
    3,898.80/5,374.76 = 2,405.72/x
  3. Step 3: Cross multiply
    3,898.80x = 5,374.76 × 2,405.72
  4. Step 4: Simplify right side
    3,898.80x = 12,930,167.63
  5. Step 5: Solve for x
    x = 12,930,167.63/3,898.80
  6. Step 6: Final answer
    x = 3,316.45

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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.