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Finding the Fourth Proportional to 4,152.88, 6,227.52 and 1,230.40

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Solution

The fourth proportional to 4,152.88, 6,227.52 and 1,230.40 is: 1,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.88 : 6,227.52 = 1,230.40 : x
  2. Step 2: Convert to fraction form
    4,152.88/6,227.52 = 1,230.40/x
  3. Step 3: Cross multiply
    4,152.88x = 6,227.52 × 1,230.40
  4. Step 4: Simplify right side
    4,152.88x = 7,662,340.61
  5. Step 5: Solve for x
    x = 7,662,340.61/4,152.88
  6. Step 6: Final answer
    x = 1,845.07

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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.