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Finding the Fourth Proportional to 5,570.70, 8,349.56 and 4,096.18

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Solution

The fourth proportional to 5,570.70, 8,349.56 and 4,096.18 is: 6,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.70 : 8,349.56 = 4,096.18 : x
  2. Step 2: Convert to fraction form
    5,570.70/8,349.56 = 4,096.18/x
  3. Step 3: Cross multiply
    5,570.70x = 8,349.56 × 4,096.18
  4. Step 4: Simplify right side
    5,570.70x = 34,201,306.22
  5. Step 5: Solve for x
    x = 34,201,306.22/5,570.70
  6. Step 6: Final answer
    x = 6,139.50

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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.