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Finding the Fourth Proportional to 5,765.46, 8,648.49 and 1,869.57

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Solution

The fourth proportional to 5,765.46, 8,648.49 and 1,869.57 is: 2,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.46 : 8,648.49 = 1,869.57 : x
  2. Step 2: Convert to fraction form
    5,765.46/8,648.49 = 1,869.57/x
  3. Step 3: Cross multiply
    5,765.46x = 8,648.49 × 1,869.57
  4. Step 4: Simplify right side
    5,765.46x = 16,168,957.45
  5. Step 5: Solve for x
    x = 16,168,957.45/5,765.46
  6. Step 6: Final answer
    x = 2,804.45

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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.