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Finding the Fourth Proportional to 5,765.14, 8,646.84 and 1,604.71

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Solution

The fourth proportional to 5,765.14, 8,646.84 and 1,604.71 is: 2,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.14 : 8,646.84 = 1,604.71 : x
  2. Step 2: Convert to fraction form
    5,765.14/8,646.84 = 1,604.71/x
  3. Step 3: Cross multiply
    5,765.14x = 8,646.84 × 1,604.71
  4. Step 4: Simplify right side
    5,765.14x = 13,875,627.38
  5. Step 5: Solve for x
    x = 13,875,627.38/5,765.14
  6. Step 6: Final answer
    x = 2,406.82

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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.