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Finding the Fourth Proportional to 5,747.68, 8,602.80 and 3,775.04

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Solution

The fourth proportional to 5,747.68, 8,602.80 and 3,775.04 is: 5,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.68 : 8,602.80 = 3,775.04 : x
  2. Step 2: Convert to fraction form
    5,747.68/8,602.80 = 3,775.04/x
  3. Step 3: Cross multiply
    5,747.68x = 8,602.80 × 3,775.04
  4. Step 4: Simplify right side
    5,747.68x = 32,475,914.11
  5. Step 5: Solve for x
    x = 32,475,914.11/5,747.68
  6. Step 6: Final answer
    x = 5,650.26

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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.