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Finding the Fourth Proportional to 5,731.71, 8,597.57 and 3,783.46

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Solution

The fourth proportional to 5,731.71, 8,597.57 and 3,783.46 is: 5,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.71 : 8,597.57 = 3,783.46 : x
  2. Step 2: Convert to fraction form
    5,731.71/8,597.57 = 3,783.46/x
  3. Step 3: Cross multiply
    5,731.71x = 8,597.57 × 3,783.46
  4. Step 4: Simplify right side
    5,731.71x = 32,528,543.27
  5. Step 5: Solve for x
    x = 32,528,543.27/5,731.71
  6. Step 6: Final answer
    x = 5,675.19

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Similar ratio
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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.