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Finding the Fourth Proportional to 6,038.28, 8,330.04 and 4,147.20

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Solution

The fourth proportional to 6,038.28, 8,330.04 and 4,147.20 is: 5,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.28 : 8,330.04 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    6,038.28/8,330.04 = 4,147.20/x
  3. Step 3: Cross multiply
    6,038.28x = 8,330.04 × 4,147.20
  4. Step 4: Simplify right side
    6,038.28x = 34,546,341.89
  5. Step 5: Solve for x
    x = 34,546,341.89/6,038.28
  6. Step 6: Final answer
    x = 5,721.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.