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Finding the Fourth Proportional to 4,680.02, 7,016.33 and 1,758

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Solution

The fourth proportional to 4,680.02, 7,016.33 and 1,758 is: 2,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.02 : 7,016.33 = 1,758 : x
  2. Step 2: Convert to fraction form
    4,680.02/7,016.33 = 1,758/x
  3. Step 3: Cross multiply
    4,680.02x = 7,016.33 × 1,758
  4. Step 4: Simplify right side
    4,680.02x = 12,334,708.14
  5. Step 5: Solve for x
    x = 12,334,708.14/4,680.02
  6. Step 6: Final answer
    x = 2,635.61

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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.