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Finding the Fourth Proportional to 3,883.12, 5,824.10 and 1,417.96

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Solution

The fourth proportional to 3,883.12, 5,824.10 and 1,417.96 is: 2,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.12 : 5,824.10 = 1,417.96 : x
  2. Step 2: Convert to fraction form
    3,883.12/5,824.10 = 1,417.96/x
  3. Step 3: Cross multiply
    3,883.12x = 5,824.10 × 1,417.96
  4. Step 4: Simplify right side
    3,883.12x = 8,258,304.63
  5. Step 5: Solve for x
    x = 8,258,304.63/3,883.12
  6. Step 6: Final answer
    x = 2,126.72

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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.