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Finding the Fourth Proportional to 5,301, 7,311.42 and 4,466.28

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Solution

The fourth proportional to 5,301, 7,311.42 and 4,466.28 is: 6,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 7,311.42 = 4,466.28 : x
  2. Step 2: Convert to fraction form
    5,301/7,311.42 = 4,466.28/x
  3. Step 3: Cross multiply
    5,301x = 7,311.42 × 4,466.28
  4. Step 4: Simplify right side
    5,301x = 32,654,848.92
  5. Step 5: Solve for x
    x = 32,654,848.92/5,301
  6. Step 6: Final answer
    x = 6,160.13

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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.