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Finding the Fourth Proportional to 3,345.02, 5,017.84 and 879.84

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Solution

The fourth proportional to 3,345.02, 5,017.84 and 879.84 is: 1,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.02 : 5,017.84 = 879.84 : x
  2. Step 2: Convert to fraction form
    3,345.02/5,017.84 = 879.84/x
  3. Step 3: Cross multiply
    3,345.02x = 5,017.84 × 879.84
  4. Step 4: Simplify right side
    3,345.02x = 4,414,894.15
  5. Step 5: Solve for x
    x = 4,414,894.15/3,345.02
  6. Step 6: Final answer
    x = 1,319.84

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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.