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Finding the Fourth Proportional to 3,509.38, 5,263.65 and 2,730.16

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Solution

The fourth proportional to 3,509.38, 5,263.65 and 2,730.16 is: 4,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.38 : 5,263.65 = 2,730.16 : x
  2. Step 2: Convert to fraction form
    3,509.38/5,263.65 = 2,730.16/x
  3. Step 3: Cross multiply
    3,509.38x = 5,263.65 × 2,730.16
  4. Step 4: Simplify right side
    3,509.38x = 14,370,606.68
  5. Step 5: Solve for x
    x = 14,370,606.68/3,509.38
  6. Step 6: Final answer
    x = 4,094.91

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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.