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Finding the Fourth Proportional to 3,159, 4,730.40 and 2,336.04

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Solution

The fourth proportional to 3,159, 4,730.40 and 2,336.04 is: 3,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159 : 4,730.40 = 2,336.04 : x
  2. Step 2: Convert to fraction form
    3,159/4,730.40 = 2,336.04/x
  3. Step 3: Cross multiply
    3,159x = 4,730.40 × 2,336.04
  4. Step 4: Simplify right side
    3,159x = 11,050,403.62
  5. Step 5: Solve for x
    x = 11,050,403.62/3,159
  6. Step 6: Final answer
    x = 3,498.07

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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.