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Finding the Fourth Proportional to 3,470.76, 4,775.10 and 3,029.68

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Solution

The fourth proportional to 3,470.76, 4,775.10 and 3,029.68 is: 4,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.76 : 4,775.10 = 3,029.68 : x
  2. Step 2: Convert to fraction form
    3,470.76/4,775.10 = 3,029.68/x
  3. Step 3: Cross multiply
    3,470.76x = 4,775.10 × 3,029.68
  4. Step 4: Simplify right side
    3,470.76x = 14,467,024.97
  5. Step 5: Solve for x
    x = 14,467,024.97/3,470.76
  6. Step 6: Final answer
    x = 4,168.26

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1.5x scale

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.