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Finding the Fourth Proportional to 3,924.40, 5,886.42 and 1,002.64

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Solution

The fourth proportional to 3,924.40, 5,886.42 and 1,002.64 is: 1,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.40 : 5,886.42 = 1,002.64 : x
  2. Step 2: Convert to fraction form
    3,924.40/5,886.42 = 1,002.64/x
  3. Step 3: Cross multiply
    3,924.40x = 5,886.42 × 1,002.64
  4. Step 4: Simplify right side
    3,924.40x = 5,901,960.15
  5. Step 5: Solve for x
    x = 5,901,960.15/3,924.40
  6. Step 6: Final answer
    x = 1,503.91

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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.