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Finding the Fourth Proportional to 5,329.45, 7,997.61 and 2,407.60

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Solution

The fourth proportional to 5,329.45, 7,997.61 and 2,407.60 is: 3,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.45 : 7,997.61 = 2,407.60 : x
  2. Step 2: Convert to fraction form
    5,329.45/7,997.61 = 2,407.60/x
  3. Step 3: Cross multiply
    5,329.45x = 7,997.61 × 2,407.60
  4. Step 4: Simplify right side
    5,329.45x = 19,255,045.84
  5. Step 5: Solve for x
    x = 19,255,045.84/5,329.45
  6. Step 6: Final answer
    x = 3,612.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.