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Finding the Fourth Proportional to 5,741.98, 8,613.02 and 1,582.22

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Solution

The fourth proportional to 5,741.98, 8,613.02 and 1,582.22 is: 2,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.98 : 8,613.02 = 1,582.22 : x
  2. Step 2: Convert to fraction form
    5,741.98/8,613.02 = 1,582.22/x
  3. Step 3: Cross multiply
    5,741.98x = 8,613.02 × 1,582.22
  4. Step 4: Simplify right side
    5,741.98x = 13,627,641.53
  5. Step 5: Solve for x
    x = 13,627,641.53/5,741.98
  6. Step 6: Final answer
    x = 2,373.33

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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.