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Finding the Fourth Proportional to 5,742.13, 8,605.10 and 2,454.07

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Solution

The fourth proportional to 5,742.13, 8,605.10 and 2,454.07 is: 3,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.13 : 8,605.10 = 2,454.07 : x
  2. Step 2: Convert to fraction form
    5,742.13/8,605.10 = 2,454.07/x
  3. Step 3: Cross multiply
    5,742.13x = 8,605.10 × 2,454.07
  4. Step 4: Simplify right side
    5,742.13x = 21,117,505.49
  5. Step 5: Solve for x
    x = 21,117,505.49/5,742.13
  6. Step 6: Final answer
    x = 3,677.64

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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.