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Finding the Fourth Proportional to 5,656.32, 7,805.46 and 3,419.48

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Solution

The fourth proportional to 5,656.32, 7,805.46 and 3,419.48 is: 4,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.32 : 7,805.46 = 3,419.48 : x
  2. Step 2: Convert to fraction form
    5,656.32/7,805.46 = 3,419.48/x
  3. Step 3: Cross multiply
    5,656.32x = 7,805.46 × 3,419.48
  4. Step 4: Simplify right side
    5,656.32x = 26,690,614.36
  5. Step 5: Solve for x
    x = 26,690,614.36/5,656.32
  6. Step 6: Final answer
    x = 4,718.72

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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.