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Finding the Fourth Proportional to 3,470.58, 5,226.50 and 3,127.95

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Solution

The fourth proportional to 3,470.58, 5,226.50 and 3,127.95 is: 4,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.58 : 5,226.50 = 3,127.95 : x
  2. Step 2: Convert to fraction form
    3,470.58/5,226.50 = 3,127.95/x
  3. Step 3: Cross multiply
    3,470.58x = 5,226.50 × 3,127.95
  4. Step 4: Simplify right side
    3,470.58x = 16,348,238.49
  5. Step 5: Solve for x
    x = 16,348,238.49/3,470.58
  6. Step 6: Final answer
    x = 4,710.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.