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Finding the Fourth Proportional to 3,345.92, 5,019.78 and 1,006.02

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Solution

The fourth proportional to 3,345.92, 5,019.78 and 1,006.02 is: 1,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.92 : 5,019.78 = 1,006.02 : x
  2. Step 2: Convert to fraction form
    3,345.92/5,019.78 = 1,006.02/x
  3. Step 3: Cross multiply
    3,345.92x = 5,019.78 × 1,006.02
  4. Step 4: Simplify right side
    3,345.92x = 5,049,999.08
  5. Step 5: Solve for x
    x = 5,049,999.08/3,345.92
  6. Step 6: Final answer
    x = 1,509.30

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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.