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Finding the Fourth Proportional to 5,752.16, 7,944.24 and 3,657.56

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Solution

The fourth proportional to 5,752.16, 7,944.24 and 3,657.56 is: 5,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.16 : 7,944.24 = 3,657.56 : x
  2. Step 2: Convert to fraction form
    5,752.16/7,944.24 = 3,657.56/x
  3. Step 3: Cross multiply
    5,752.16x = 7,944.24 × 3,657.56
  4. Step 4: Simplify right side
    5,752.16x = 29,056,534.45
  5. Step 5: Solve for x
    x = 29,056,534.45/5,752.16
  6. Step 6: Final answer
    x = 5,051.41

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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.