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Finding the Fourth Proportional to 5,743.32, 8,580.08 and 3,646.53

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Solution

The fourth proportional to 5,743.32, 8,580.08 and 3,646.53 is: 5,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.32 : 8,580.08 = 3,646.53 : x
  2. Step 2: Convert to fraction form
    5,743.32/8,580.08 = 3,646.53/x
  3. Step 3: Cross multiply
    5,743.32x = 8,580.08 × 3,646.53
  4. Step 4: Simplify right side
    5,743.32x = 31,287,519.12
  5. Step 5: Solve for x
    x = 31,287,519.12/5,743.32
  6. Step 6: Final answer
    x = 5,447.64

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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.