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Finding the Fourth Proportional to 3,509.10, 4,842.18 and 2,164.50

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Solution

The fourth proportional to 3,509.10, 4,842.18 and 2,164.50 is: 2,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.10 : 4,842.18 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    3,509.10/4,842.18 = 2,164.50/x
  3. Step 3: Cross multiply
    3,509.10x = 4,842.18 × 2,164.50
  4. Step 4: Simplify right side
    3,509.10x = 10,480,898.61
  5. Step 5: Solve for x
    x = 10,480,898.61/3,509.10
  6. Step 6: Final answer
    x = 2,986.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.