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Finding the Fourth Proportional to 3,470.78, 5,206.94 and 1,005.78

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Solution

The fourth proportional to 3,470.78, 5,206.94 and 1,005.78 is: 1,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.78 : 5,206.94 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    3,470.78/5,206.94 = 1,005.78/x
  3. Step 3: Cross multiply
    3,470.78x = 5,206.94 × 1,005.78
  4. Step 4: Simplify right side
    3,470.78x = 5,237,036.11
  5. Step 5: Solve for x
    x = 5,237,036.11/3,470.78
  6. Step 6: Final answer
    x = 1,508.89

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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.