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Finding the Fourth Proportional to 3,530.74, 5,296.15 and 898.25

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Solution

The fourth proportional to 3,530.74, 5,296.15 and 898.25 is: 1,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.74 : 5,296.15 = 898.25 : x
  2. Step 2: Convert to fraction form
    3,530.74/5,296.15 = 898.25/x
  3. Step 3: Cross multiply
    3,530.74x = 5,296.15 × 898.25
  4. Step 4: Simplify right side
    3,530.74x = 4,757,274.83
  5. Step 5: Solve for x
    x = 4,757,274.83/3,530.74
  6. Step 6: Final answer
    x = 1,347.39

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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.