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Finding the Fourth Proportional to 4,494.74, 6,746.18 and 2,304.99

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Solution

The fourth proportional to 4,494.74, 6,746.18 and 2,304.99 is: 3,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.74 : 6,746.18 = 2,304.99 : x
  2. Step 2: Convert to fraction form
    4,494.74/6,746.18 = 2,304.99/x
  3. Step 3: Cross multiply
    4,494.74x = 6,746.18 × 2,304.99
  4. Step 4: Simplify right side
    4,494.74x = 15,549,865.91
  5. Step 5: Solve for x
    x = 15,549,865.91/4,494.74
  6. Step 6: Final answer
    x = 3,459.57

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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.