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Finding the Fourth Proportional to 5,884.72, 8,822.32 and 4,031.28

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Solution

The fourth proportional to 5,884.72, 8,822.32 and 4,031.28 is: 6,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.72 : 8,822.32 = 4,031.28 : x
  2. Step 2: Convert to fraction form
    5,884.72/8,822.32 = 4,031.28/x
  3. Step 3: Cross multiply
    5,884.72x = 8,822.32 × 4,031.28
  4. Step 4: Simplify right side
    5,884.72x = 35,565,242.17
  5. Step 5: Solve for x
    x = 35,565,242.17/5,884.72
  6. Step 6: Final answer
    x = 6,043.66

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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.