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Finding the Fourth Proportional to 5,652.87, 7,799.37 and 4,454.14

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Solution

The fourth proportional to 5,652.87, 7,799.37 and 4,454.14 is: 6,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.87 : 7,799.37 = 4,454.14 : x
  2. Step 2: Convert to fraction form
    5,652.87/7,799.37 = 4,454.14/x
  3. Step 3: Cross multiply
    5,652.87x = 7,799.37 × 4,454.14
  4. Step 4: Simplify right side
    5,652.87x = 34,739,501.21
  5. Step 5: Solve for x
    x = 34,739,501.21/5,652.87
  6. Step 6: Final answer
    x = 6,145.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.