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Finding the Fourth Proportional to 3,559.56, 5,338.98 and 1,094.40

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Solution

The fourth proportional to 3,559.56, 5,338.98 and 1,094.40 is: 1,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.56 : 5,338.98 = 1,094.40 : x
  2. Step 2: Convert to fraction form
    3,559.56/5,338.98 = 1,094.40/x
  3. Step 3: Cross multiply
    3,559.56x = 5,338.98 × 1,094.40
  4. Step 4: Simplify right side
    3,559.56x = 5,842,979.71
  5. Step 5: Solve for x
    x = 5,842,979.71/3,559.56
  6. Step 6: Final answer
    x = 1,641.49

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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.