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Finding the Fourth Proportional to 5,318.16, 7,969.84 and 2,715.60

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Solution

The fourth proportional to 5,318.16, 7,969.84 and 2,715.60 is: 4,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.16 : 7,969.84 = 2,715.60 : x
  2. Step 2: Convert to fraction form
    5,318.16/7,969.84 = 2,715.60/x
  3. Step 3: Cross multiply
    5,318.16x = 7,969.84 × 2,715.60
  4. Step 4: Simplify right side
    5,318.16x = 21,642,897.50
  5. Step 5: Solve for x
    x = 21,642,897.50/5,318.16
  6. Step 6: Final answer
    x = 4,069.62

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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.