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Finding the Fourth Proportional to 3,531.35, 5,296.94 and 898.95

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Solution

The fourth proportional to 3,531.35, 5,296.94 and 898.95 is: 1,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.35 : 5,296.94 = 898.95 : x
  2. Step 2: Convert to fraction form
    3,531.35/5,296.94 = 898.95/x
  3. Step 3: Cross multiply
    3,531.35x = 5,296.94 × 898.95
  4. Step 4: Simplify right side
    3,531.35x = 4,761,678.21
  5. Step 5: Solve for x
    x = 4,761,678.21/3,531.35
  6. Step 6: Final answer
    x = 1,348.40

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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.