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Finding the Fourth Proportional to 4,152.16, 6,229.23 and 1,230.40

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Solution

The fourth proportional to 4,152.16, 6,229.23 and 1,230.40 is: 1,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.16 : 6,229.23 = 1,230.40 : x
  2. Step 2: Convert to fraction form
    4,152.16/6,229.23 = 1,230.40/x
  3. Step 3: Cross multiply
    4,152.16x = 6,229.23 × 1,230.40
  4. Step 4: Simplify right side
    4,152.16x = 7,664,444.59
  5. Step 5: Solve for x
    x = 7,664,444.59/4,152.16
  6. Step 6: Final answer
    x = 1,845.89

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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.