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Finding the Fourth Proportional to 3,363.64, 5,045.48 and 898.42

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Solution

The fourth proportional to 3,363.64, 5,045.48 and 898.42 is: 1,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.64 : 5,045.48 = 898.42 : x
  2. Step 2: Convert to fraction form
    3,363.64/5,045.48 = 898.42/x
  3. Step 3: Cross multiply
    3,363.64x = 5,045.48 × 898.42
  4. Step 4: Simplify right side
    3,363.64x = 4,532,960.14
  5. Step 5: Solve for x
    x = 4,532,960.14/3,363.64
  6. Step 6: Final answer
    x = 1,347.64

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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.