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Finding the Fourth Proportional to 3,332.48, 5,000.32 and 1,280

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Solution

The fourth proportional to 3,332.48, 5,000.32 and 1,280 is: 1,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.48 : 5,000.32 = 1,280 : x
  2. Step 2: Convert to fraction form
    3,332.48/5,000.32 = 1,280/x
  3. Step 3: Cross multiply
    3,332.48x = 5,000.32 × 1,280
  4. Step 4: Simplify right side
    3,332.48x = 6,400,409.60
  5. Step 5: Solve for x
    x = 6,400,409.60/3,332.48
  6. Step 6: Final answer
    x = 1,920.61

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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.