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Finding the Fourth Proportional to 3,470.85, 4,788.05 and 2,352.65

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Solution

The fourth proportional to 3,470.85, 4,788.05 and 2,352.65 is: 3,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.85 : 4,788.05 = 2,352.65 : x
  2. Step 2: Convert to fraction form
    3,470.85/4,788.05 = 2,352.65/x
  3. Step 3: Cross multiply
    3,470.85x = 4,788.05 × 2,352.65
  4. Step 4: Simplify right side
    3,470.85x = 11,264,570.13
  5. Step 5: Solve for x
    x = 11,264,570.13/3,470.85
  6. Step 6: Final answer
    x = 3,245.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.