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Finding the Fourth Proportional to 5,787.69, 8,692.13 and 5,299.71

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Solution

The fourth proportional to 5,787.69, 8,692.13 and 5,299.71 is: 7,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.69 : 8,692.13 = 5,299.71 : x
  2. Step 2: Convert to fraction form
    5,787.69/8,692.13 = 5,299.71/x
  3. Step 3: Cross multiply
    5,787.69x = 8,692.13 × 5,299.71
  4. Step 4: Simplify right side
    5,787.69x = 46,065,741.78
  5. Step 5: Solve for x
    x = 46,065,741.78/5,787.69
  6. Step 6: Final answer
    x = 7,959.26

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1.5x scale

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.