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Finding the Fourth Proportional to 5,700.42, 7,866.96 and 4,022.40

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Solution

The fourth proportional to 5,700.42, 7,866.96 and 4,022.40 is: 5,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.42 : 7,866.96 = 4,022.40 : x
  2. Step 2: Convert to fraction form
    5,700.42/7,866.96 = 4,022.40/x
  3. Step 3: Cross multiply
    5,700.42x = 7,866.96 × 4,022.40
  4. Step 4: Simplify right side
    5,700.42x = 31,644,059.90
  5. Step 5: Solve for x
    x = 31,644,059.90/5,700.42
  6. Step 6: Final answer
    x = 5,551.18

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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.