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Finding the Fourth Proportional to 3,086.64, 4,630.03 and 1,006.65

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Solution

The fourth proportional to 3,086.64, 4,630.03 and 1,006.65 is: 1,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,630.03 = 1,006.65 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,630.03 = 1,006.65/x
  3. Step 3: Cross multiply
    3,086.64x = 4,630.03 × 1,006.65
  4. Step 4: Simplify right side
    3,086.64x = 4,660,817.18
  5. Step 5: Solve for x
    x = 4,660,817.18/3,086.64
  6. Step 6: Final answer
    x = 1,510.00

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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.