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Finding the Fourth Proportional to 5,633.96, 7,769.93 and 3,642.57

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Solution

The fourth proportional to 5,633.96, 7,769.93 and 3,642.57 is: 5,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.96 : 7,769.93 = 3,642.57 : x
  2. Step 2: Convert to fraction form
    5,633.96/7,769.93 = 3,642.57/x
  3. Step 3: Cross multiply
    5,633.96x = 7,769.93 × 3,642.57
  4. Step 4: Simplify right side
    5,633.96x = 28,302,495.71
  5. Step 5: Solve for x
    x = 28,302,495.71/5,633.96
  6. Step 6: Final answer
    x = 5,023.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.