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Finding the Fourth Proportional to 5,633.34, 8,449.36 and 1,473.75

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Solution

The fourth proportional to 5,633.34, 8,449.36 and 1,473.75 is: 2,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.34 : 8,449.36 = 1,473.75 : x
  2. Step 2: Convert to fraction form
    5,633.34/8,449.36 = 1,473.75/x
  3. Step 3: Cross multiply
    5,633.34x = 8,449.36 × 1,473.75
  4. Step 4: Simplify right side
    5,633.34x = 12,452,207.04
  5. Step 5: Solve for x
    x = 12,452,207.04/5,633.34
  6. Step 6: Final answer
    x = 2,210.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.