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Finding the Fourth Proportional to 4,152.64, 6,230.16 and 1,555.80

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Solution

The fourth proportional to 4,152.64, 6,230.16 and 1,555.80 is: 2,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.64 : 6,230.16 = 1,555.80 : x
  2. Step 2: Convert to fraction form
    4,152.64/6,230.16 = 1,555.80/x
  3. Step 3: Cross multiply
    4,152.64x = 6,230.16 × 1,555.80
  4. Step 4: Simplify right side
    4,152.64x = 9,692,882.93
  5. Step 5: Solve for x
    x = 9,692,882.93/4,152.64
  6. Step 6: Final answer
    x = 2,334.15

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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.