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Finding the Fourth Proportional to 3,340.74, 5,011.29 and 875.58

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Solution

The fourth proportional to 3,340.74, 5,011.29 and 875.58 is: 1,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.74 : 5,011.29 = 875.58 : x
  2. Step 2: Convert to fraction form
    3,340.74/5,011.29 = 875.58/x
  3. Step 3: Cross multiply
    3,340.74x = 5,011.29 × 875.58
  4. Step 4: Simplify right side
    3,340.74x = 4,387,785.30
  5. Step 5: Solve for x
    x = 4,387,785.30/3,340.74
  6. Step 6: Final answer
    x = 1,313.42

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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.