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Finding the Fourth Proportional to 3,915.38, 5,403.18 and 2,146.98

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Solution

The fourth proportional to 3,915.38, 5,403.18 and 2,146.98 is: 2,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.38 : 5,403.18 = 2,146.98 : x
  2. Step 2: Convert to fraction form
    3,915.38/5,403.18 = 2,146.98/x
  3. Step 3: Cross multiply
    3,915.38x = 5,403.18 × 2,146.98
  4. Step 4: Simplify right side
    3,915.38x = 11,600,547.71
  5. Step 5: Solve for x
    x = 11,600,547.71/3,915.38
  6. Step 6: Final answer
    x = 2,962.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.