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Finding the Fourth Proportional to 5,281.53, 7,917.42 and 2,509.51

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Solution

The fourth proportional to 5,281.53, 7,917.42 and 2,509.51 is: 3,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.53 : 7,917.42 = 2,509.51 : x
  2. Step 2: Convert to fraction form
    5,281.53/7,917.42 = 2,509.51/x
  3. Step 3: Cross multiply
    5,281.53x = 7,917.42 × 2,509.51
  4. Step 4: Simplify right side
    5,281.53x = 19,868,844.66
  5. Step 5: Solve for x
    x = 19,868,844.66/5,281.53
  6. Step 6: Final answer
    x = 3,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.