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Finding the Fourth Proportional to 5,657.97, 7,807.12 and 3,235.30

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Solution

The fourth proportional to 5,657.97, 7,807.12 and 3,235.30 is: 4,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.97 : 7,807.12 = 3,235.30 : x
  2. Step 2: Convert to fraction form
    5,657.97/7,807.12 = 3,235.30/x
  3. Step 3: Cross multiply
    5,657.97x = 7,807.12 × 3,235.30
  4. Step 4: Simplify right side
    5,657.97x = 25,258,375.34
  5. Step 5: Solve for x
    x = 25,258,375.34/5,657.97
  6. Step 6: Final answer
    x = 4,464.21

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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.