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Finding the Fourth Proportional to 4,176.91, 6,265.91 and 1,402.39

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Solution

The fourth proportional to 4,176.91, 6,265.91 and 1,402.39 is: 2,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.91 : 6,265.91 = 1,402.39 : x
  2. Step 2: Convert to fraction form
    4,176.91/6,265.91 = 1,402.39/x
  3. Step 3: Cross multiply
    4,176.91x = 6,265.91 × 1,402.39
  4. Step 4: Simplify right side
    4,176.91x = 8,787,242.51
  5. Step 5: Solve for x
    x = 8,787,242.51/4,176.91
  6. Step 6: Final answer
    x = 2,103.77

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