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Finding the Fourth Proportional to 4,498.76, 6,741.88 and 2,302.86

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Solution

The fourth proportional to 4,498.76, 6,741.88 and 2,302.86 is: 3,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.76 : 6,741.88 = 2,302.86 : x
  2. Step 2: Convert to fraction form
    4,498.76/6,741.88 = 2,302.86/x
  3. Step 3: Cross multiply
    4,498.76x = 6,741.88 × 2,302.86
  4. Step 4: Simplify right side
    4,498.76x = 15,525,605.78
  5. Step 5: Solve for x
    x = 15,525,605.78/4,498.76
  6. Step 6: Final answer
    x = 3,451.09

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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.