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Finding the Fourth Proportional to 5,762.04, 8,641.23 and 1,865.53

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Solution

The fourth proportional to 5,762.04, 8,641.23 and 1,865.53 is: 2,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.04 : 8,641.23 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    5,762.04/8,641.23 = 1,865.53/x
  3. Step 3: Cross multiply
    5,762.04x = 8,641.23 × 1,865.53
  4. Step 4: Simplify right side
    5,762.04x = 16,120,488.10
  5. Step 5: Solve for x
    x = 16,120,488.10/5,762.04
  6. Step 6: Final answer
    x = 2,797.71

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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.