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Finding the Fourth Proportional to 5,657.40, 7,807.86 and 5,475.96

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Solution

The fourth proportional to 5,657.40, 7,807.86 and 5,475.96 is: 7,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.40 : 7,807.86 = 5,475.96 : x
  2. Step 2: Convert to fraction form
    5,657.40/7,807.86 = 5,475.96/x
  3. Step 3: Cross multiply
    5,657.40x = 7,807.86 × 5,475.96
  4. Step 4: Simplify right side
    5,657.40x = 42,755,529.05
  5. Step 5: Solve for x
    x = 42,755,529.05/5,657.40
  6. Step 6: Final answer
    x = 7,557.45

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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.