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Finding the Fourth Proportional to 4,497.46, 6,746.11 and 2,031.62

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Solution

The fourth proportional to 4,497.46, 6,746.11 and 2,031.62 is: 3,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.46 : 6,746.11 = 2,031.62 : x
  2. Step 2: Convert to fraction form
    4,497.46/6,746.11 = 2,031.62/x
  3. Step 3: Cross multiply
    4,497.46x = 6,746.11 × 2,031.62
  4. Step 4: Simplify right side
    4,497.46x = 13,705,493.19
  5. Step 5: Solve for x
    x = 13,705,493.19/4,497.46
  6. Step 6: Final answer
    x = 3,047.39

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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.