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Finding the Fourth Proportional to 5,823.14, 8,695.12 and 5,494.26

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Solution

The fourth proportional to 5,823.14, 8,695.12 and 5,494.26 is: 8,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.14 : 8,695.12 = 5,494.26 : x
  2. Step 2: Convert to fraction form
    5,823.14/8,695.12 = 5,494.26/x
  3. Step 3: Cross multiply
    5,823.14x = 8,695.12 × 5,494.26
  4. Step 4: Simplify right side
    5,823.14x = 47,773,250.01
  5. Step 5: Solve for x
    x = 47,773,250.01/5,823.14
  6. Step 6: Final answer
    x = 8,204.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.