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Finding the Fourth Proportional to 5,762.52, 8,642.10 and 2,065.56

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Solution

The fourth proportional to 5,762.52, 8,642.10 and 2,065.56 is: 3,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.52 : 8,642.10 = 2,065.56 : x
  2. Step 2: Convert to fraction form
    5,762.52/8,642.10 = 2,065.56/x
  3. Step 3: Cross multiply
    5,762.52x = 8,642.10 × 2,065.56
  4. Step 4: Simplify right side
    5,762.52x = 17,850,776.08
  5. Step 5: Solve for x
    x = 17,850,776.08/5,762.52
  6. Step 6: Final answer
    x = 3,097.74

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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.