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Finding the Fourth Proportional to 3,875.42, 5,347.74 and 2,281.82

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Solution

The fourth proportional to 3,875.42, 5,347.74 and 2,281.82 is: 3,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.42 : 5,347.74 = 2,281.82 : x
  2. Step 2: Convert to fraction form
    3,875.42/5,347.74 = 2,281.82/x
  3. Step 3: Cross multiply
    3,875.42x = 5,347.74 × 2,281.82
  4. Step 4: Simplify right side
    3,875.42x = 12,202,580.09
  5. Step 5: Solve for x
    x = 12,202,580.09/3,875.42
  6. Step 6: Final answer
    x = 3,148.71

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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.