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Finding the Fourth Proportional to 3,695.71, 5,543.55 and 922.38

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Solution

The fourth proportional to 3,695.71, 5,543.55 and 922.38 is: 1,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.71 : 5,543.55 = 922.38 : x
  2. Step 2: Convert to fraction form
    3,695.71/5,543.55 = 922.38/x
  3. Step 3: Cross multiply
    3,695.71x = 5,543.55 × 922.38
  4. Step 4: Simplify right side
    3,695.71x = 5,113,259.65
  5. Step 5: Solve for x
    x = 5,113,259.65/3,695.71
  6. Step 6: Final answer
    x = 1,383.57

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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.