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Finding the Fourth Proportional to 5,810.50, 8,719.80 and 2,347.78

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Solution

The fourth proportional to 5,810.50, 8,719.80 and 2,347.78 is: 3,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.50 : 8,719.80 = 2,347.78 : x
  2. Step 2: Convert to fraction form
    5,810.50/8,719.80 = 2,347.78/x
  3. Step 3: Cross multiply
    5,810.50x = 8,719.80 × 2,347.78
  4. Step 4: Simplify right side
    5,810.50x = 20,472,172.04
  5. Step 5: Solve for x
    x = 20,472,172.04/5,810.50
  6. Step 6: Final answer
    x = 3,523.31

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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.