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Finding the Fourth Proportional to 5,298.18, 7,946.34 and 2,960.52

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Solution

The fourth proportional to 5,298.18, 7,946.34 and 2,960.52 is: 4,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.18 : 7,946.34 = 2,960.52 : x
  2. Step 2: Convert to fraction form
    5,298.18/7,946.34 = 2,960.52/x
  3. Step 3: Cross multiply
    5,298.18x = 7,946.34 × 2,960.52
  4. Step 4: Simplify right side
    5,298.18x = 23,525,298.50
  5. Step 5: Solve for x
    x = 23,525,298.50/5,298.18
  6. Step 6: Final answer
    x = 4,440.26

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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.