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Finding the Fourth Proportional to 3,948.96, 5,925.48 and 2,717.40

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Solution

The fourth proportional to 3,948.96, 5,925.48 and 2,717.40 is: 4,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.96 : 5,925.48 = 2,717.40 : x
  2. Step 2: Convert to fraction form
    3,948.96/5,925.48 = 2,717.40/x
  3. Step 3: Cross multiply
    3,948.96x = 5,925.48 × 2,717.40
  4. Step 4: Simplify right side
    3,948.96x = 16,101,899.35
  5. Step 5: Solve for x
    x = 16,101,899.35/3,948.96
  6. Step 6: Final answer
    x = 4,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.