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Finding the Fourth Proportional to 3,363.66, 5,045.18 and 898.39

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Solution

The fourth proportional to 3,363.66, 5,045.18 and 898.39 is: 1,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.66 : 5,045.18 = 898.39 : x
  2. Step 2: Convert to fraction form
    3,363.66/5,045.18 = 898.39/x
  3. Step 3: Cross multiply
    3,363.66x = 5,045.18 × 898.39
  4. Step 4: Simplify right side
    3,363.66x = 4,532,539.26
  5. Step 5: Solve for x
    x = 4,532,539.26/3,363.66
  6. Step 6: Final answer
    x = 1,347.50

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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.