Home / 3,470.49-5,206.59-1,005.48

Finding the Fourth Proportional to 3,470.49, 5,206.59 and 1,005.48

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Solution

The fourth proportional to 3,470.49, 5,206.59 and 1,005.48 is: 1,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.49 : 5,206.59 = 1,005.48 : x
  2. Step 2: Convert to fraction form
    3,470.49/5,206.59 = 1,005.48/x
  3. Step 3: Cross multiply
    3,470.49x = 5,206.59 × 1,005.48
  4. Step 4: Simplify right side
    3,470.49x = 5,235,122.11
  5. Step 5: Solve for x
    x = 5,235,122.11/3,470.49
  6. Step 6: Final answer
    x = 1,508.47

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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.