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Finding the Fourth Proportional to 7,104.48, 9,802.92 and 3,960

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Solution

The fourth proportional to 7,104.48, 9,802.92 and 3,960 is: 5,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.48 : 9,802.92 = 3,960 : x
  2. Step 2: Convert to fraction form
    7,104.48/9,802.92 = 3,960/x
  3. Step 3: Cross multiply
    7,104.48x = 9,802.92 × 3,960
  4. Step 4: Simplify right side
    7,104.48x = 38,819,563.20
  5. Step 5: Solve for x
    x = 38,819,563.20/7,104.48
  6. Step 6: Final answer
    x = 5,464.10

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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.