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Finding the Fourth Proportional to 5,810.40, 8,017.74 and 3,452.22

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Solution

The fourth proportional to 5,810.40, 8,017.74 and 3,452.22 is: 4,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.40 : 8,017.74 = 3,452.22 : x
  2. Step 2: Convert to fraction form
    5,810.40/8,017.74 = 3,452.22/x
  3. Step 3: Cross multiply
    5,810.40x = 8,017.74 × 3,452.22
  4. Step 4: Simplify right side
    5,810.40x = 27,679,002.38
  5. Step 5: Solve for x
    x = 27,679,002.38/5,810.40
  6. Step 6: Final answer
    x = 4,763.70

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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.