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Finding the Fourth Proportional to 5,059.04, 6,982.16 and 2,964

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Solution

The fourth proportional to 5,059.04, 6,982.16 and 2,964 is: 4,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.04 : 6,982.16 = 2,964 : x
  2. Step 2: Convert to fraction form
    5,059.04/6,982.16 = 2,964/x
  3. Step 3: Cross multiply
    5,059.04x = 6,982.16 × 2,964
  4. Step 4: Simplify right side
    5,059.04x = 20,695,122.24
  5. Step 5: Solve for x
    x = 20,695,122.24/5,059.04
  6. Step 6: Final answer
    x = 4,090.72

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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.