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Finding the Fourth Proportional to 3,138.04, 4,707.50 and 946.52

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Solution

The fourth proportional to 3,138.04, 4,707.50 and 946.52 is: 1,419.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.04 : 4,707.50 = 946.52 : x
  2. Step 2: Convert to fraction form
    3,138.04/4,707.50 = 946.52/x
  3. Step 3: Cross multiply
    3,138.04x = 4,707.50 × 946.52
  4. Step 4: Simplify right side
    3,138.04x = 4,455,742.90
  5. Step 5: Solve for x
    x = 4,455,742.90/3,138.04
  6. Step 6: Final answer
    x = 1,419.91

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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.