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Finding the Fourth Proportional to 3,713.39, 5,570.19 and 1,116.32

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Solution

The fourth proportional to 3,713.39, 5,570.19 and 1,116.32 is: 1,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.39 : 5,570.19 = 1,116.32 : x
  2. Step 2: Convert to fraction form
    3,713.39/5,570.19 = 1,116.32/x
  3. Step 3: Cross multiply
    3,713.39x = 5,570.19 × 1,116.32
  4. Step 4: Simplify right side
    3,713.39x = 6,218,114.50
  5. Step 5: Solve for x
    x = 6,218,114.50/3,713.39
  6. Step 6: Final answer
    x = 1,674.51

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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.