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Finding the Fourth Proportional to 3,915.84, 5,403.42 and 2,424.72

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Solution

The fourth proportional to 3,915.84, 5,403.42 and 2,424.72 is: 3,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,403.42 = 2,424.72 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,403.42 = 2,424.72/x
  3. Step 3: Cross multiply
    3,915.84x = 5,403.42 × 2,424.72
  4. Step 4: Simplify right side
    3,915.84x = 13,101,780.54
  5. Step 5: Solve for x
    x = 13,101,780.54/3,915.84
  6. Step 6: Final answer
    x = 3,345.84

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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.