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Finding the Fourth Proportional to 3,693.68, 5,096.40 and 2,295.68

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Solution

The fourth proportional to 3,693.68, 5,096.40 and 2,295.68 is: 3,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.68 : 5,096.40 = 2,295.68 : x
  2. Step 2: Convert to fraction form
    3,693.68/5,096.40 = 2,295.68/x
  3. Step 3: Cross multiply
    3,693.68x = 5,096.40 × 2,295.68
  4. Step 4: Simplify right side
    3,693.68x = 11,699,703.55
  5. Step 5: Solve for x
    x = 11,699,703.55/3,693.68
  6. Step 6: Final answer
    x = 3,167.49

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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.