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Finding the Fourth Proportional to 5,045.92, 6,964.10 and 3,029.47

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Solution

The fourth proportional to 5,045.92, 6,964.10 and 3,029.47 is: 4,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.92 : 6,964.10 = 3,029.47 : x
  2. Step 2: Convert to fraction form
    5,045.92/6,964.10 = 3,029.47/x
  3. Step 3: Cross multiply
    5,045.92x = 6,964.10 × 3,029.47
  4. Step 4: Simplify right side
    5,045.92x = 21,097,522.19
  5. Step 5: Solve for x
    x = 21,097,522.19/5,045.92
  6. Step 6: Final answer
    x = 4,181.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.