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Finding the Fourth Proportional to 4,800.16, 7,207.32 and 2,959

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Solution

The fourth proportional to 4,800.16, 7,207.32 and 2,959 is: 4,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.16 : 7,207.32 = 2,959 : x
  2. Step 2: Convert to fraction form
    4,800.16/7,207.32 = 2,959/x
  3. Step 3: Cross multiply
    4,800.16x = 7,207.32 × 2,959
  4. Step 4: Simplify right side
    4,800.16x = 21,326,459.88
  5. Step 5: Solve for x
    x = 21,326,459.88/4,800.16
  6. Step 6: Final answer
    x = 4,442.86

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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.