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Finding the Fourth Proportional to 3,532.40, 5,298.60 and 899.90

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Solution

The fourth proportional to 3,532.40, 5,298.60 and 899.90 is: 1,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.40 : 5,298.60 = 899.90 : x
  2. Step 2: Convert to fraction form
    3,532.40/5,298.60 = 899.90/x
  3. Step 3: Cross multiply
    3,532.40x = 5,298.60 × 899.90
  4. Step 4: Simplify right side
    3,532.40x = 4,768,210.14
  5. Step 5: Solve for x
    x = 4,768,210.14/3,532.40
  6. Step 6: Final answer
    x = 1,349.85

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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.