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Finding the Fourth Proportional to 3,518.58, 5,278.24 and 1,052.98

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Solution

The fourth proportional to 3,518.58, 5,278.24 and 1,052.98 is: 1,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.58 : 5,278.24 = 1,052.98 : x
  2. Step 2: Convert to fraction form
    3,518.58/5,278.24 = 1,052.98/x
  3. Step 3: Cross multiply
    3,518.58x = 5,278.24 × 1,052.98
  4. Step 4: Simplify right side
    3,518.58x = 5,557,881.16
  5. Step 5: Solve for x
    x = 5,557,881.16/3,518.58
  6. Step 6: Final answer
    x = 1,579.58

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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.