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Finding the Fourth Proportional to 3,159.91, 4,730 and 2,327.91

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Solution

The fourth proportional to 3,159.91, 4,730 and 2,327.91 is: 3,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.91 : 4,730 = 2,327.91 : x
  2. Step 2: Convert to fraction form
    3,159.91/4,730 = 2,327.91/x
  3. Step 3: Cross multiply
    3,159.91x = 4,730 × 2,327.91
  4. Step 4: Simplify right side
    3,159.91x = 11,011,014.30
  5. Step 5: Solve for x
    x = 11,011,014.30/3,159.91
  6. Step 6: Final answer
    x = 3,484.60

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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.