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Finding the Fourth Proportional to 5,281.48, 7,922.28 and 2,359.94

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Solution

The fourth proportional to 5,281.48, 7,922.28 and 2,359.94 is: 3,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.48 : 7,922.28 = 2,359.94 : x
  2. Step 2: Convert to fraction form
    5,281.48/7,922.28 = 2,359.94/x
  3. Step 3: Cross multiply
    5,281.48x = 7,922.28 × 2,359.94
  4. Step 4: Simplify right side
    5,281.48x = 18,696,105.46
  5. Step 5: Solve for x
    x = 18,696,105.46/5,281.48
  6. Step 6: Final answer
    x = 3,539.94

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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.