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Finding the Fourth Proportional to 5,695.42, 8,542.23 and 1,798.96

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Solution

The fourth proportional to 5,695.42, 8,542.23 and 1,798.96 is: 2,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.42 : 8,542.23 = 1,798.96 : x
  2. Step 2: Convert to fraction form
    5,695.42/8,542.23 = 1,798.96/x
  3. Step 3: Cross multiply
    5,695.42x = 8,542.23 × 1,798.96
  4. Step 4: Simplify right side
    5,695.42x = 15,367,130.08
  5. Step 5: Solve for x
    x = 15,367,130.08/5,695.42
  6. Step 6: Final answer
    x = 2,698.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.