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Finding the Fourth Proportional to 4,340.31, 6,509.04 and 1,873.59

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Solution

The fourth proportional to 4,340.31, 6,509.04 and 1,873.59 is: 2,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.31 : 6,509.04 = 1,873.59 : x
  2. Step 2: Convert to fraction form
    4,340.31/6,509.04 = 1,873.59/x
  3. Step 3: Cross multiply
    4,340.31x = 6,509.04 × 1,873.59
  4. Step 4: Simplify right side
    4,340.31x = 12,195,272.25
  5. Step 5: Solve for x
    x = 12,195,272.25/4,340.31
  6. Step 6: Final answer
    x = 2,809.77

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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.