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Finding the Fourth Proportional to 5,047.52, 6,965.44 and 3,057.76

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Solution

The fourth proportional to 5,047.52, 6,965.44 and 3,057.76 is: 4,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.52 : 6,965.44 = 3,057.76 : x
  2. Step 2: Convert to fraction form
    5,047.52/6,965.44 = 3,057.76/x
  3. Step 3: Cross multiply
    5,047.52x = 6,965.44 × 3,057.76
  4. Step 4: Simplify right side
    5,047.52x = 21,298,643.81
  5. Step 5: Solve for x
    x = 21,298,643.81/5,047.52
  6. Step 6: Final answer
    x = 4,219.63

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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.