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Finding the Fourth Proportional to 3,764.96, 5,648.16 and 1,458.08

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Solution

The fourth proportional to 3,764.96, 5,648.16 and 1,458.08 is: 2,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.96 : 5,648.16 = 1,458.08 : x
  2. Step 2: Convert to fraction form
    3,764.96/5,648.16 = 1,458.08/x
  3. Step 3: Cross multiply
    3,764.96x = 5,648.16 × 1,458.08
  4. Step 4: Simplify right side
    3,764.96x = 8,235,469.13
  5. Step 5: Solve for x
    x = 8,235,469.13/3,764.96
  6. Step 6: Final answer
    x = 2,187.40

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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.