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Finding the Fourth Proportional to 3,370.71, 5,054.50 and 1,030.12

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Solution

The fourth proportional to 3,370.71, 5,054.50 and 1,030.12 is: 1,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.71 : 5,054.50 = 1,030.12 : x
  2. Step 2: Convert to fraction form
    3,370.71/5,054.50 = 1,030.12/x
  3. Step 3: Cross multiply
    3,370.71x = 5,054.50 × 1,030.12
  4. Step 4: Simplify right side
    3,370.71x = 5,206,730.19
  5. Step 5: Solve for x
    x = 5,206,730.19/3,370.71
  6. Step 6: Final answer
    x = 1,544.70

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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.