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Finding the Fourth Proportional to 4,494.52, 6,741.80 and 1,416.52

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Solution

The fourth proportional to 4,494.52, 6,741.80 and 1,416.52 is: 2,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.52 : 6,741.80 = 1,416.52 : x
  2. Step 2: Convert to fraction form
    4,494.52/6,741.80 = 1,416.52/x
  3. Step 3: Cross multiply
    4,494.52x = 6,741.80 × 1,416.52
  4. Step 4: Simplify right side
    4,494.52x = 9,549,894.54
  5. Step 5: Solve for x
    x = 9,549,894.54/4,494.52
  6. Step 6: Final answer
    x = 2,124.79

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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.