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Finding the Fourth Proportional to 3,532.35, 5,298.44 and 899.95

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Solution

The fourth proportional to 3,532.35, 5,298.44 and 899.95 is: 1,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.35 : 5,298.44 = 899.95 : x
  2. Step 2: Convert to fraction form
    3,532.35/5,298.44 = 899.95/x
  3. Step 3: Cross multiply
    3,532.35x = 5,298.44 × 899.95
  4. Step 4: Simplify right side
    3,532.35x = 4,768,331.08
  5. Step 5: Solve for x
    x = 4,768,331.08/3,532.35
  6. Step 6: Final answer
    x = 1,349.90

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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.