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Finding the Fourth Proportional to 5,868.55, 8,805.65 and 3,646.78

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Solution

The fourth proportional to 5,868.55, 8,805.65 and 3,646.78 is: 5,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.55 : 8,805.65 = 3,646.78 : x
  2. Step 2: Convert to fraction form
    5,868.55/8,805.65 = 3,646.78/x
  3. Step 3: Cross multiply
    5,868.55x = 8,805.65 × 3,646.78
  4. Step 4: Simplify right side
    5,868.55x = 32,112,268.31
  5. Step 5: Solve for x
    x = 32,112,268.31/5,868.55
  6. Step 6: Final answer
    x = 5,471.93

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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.