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Finding the Fourth Proportional to 3,137.76, 4,707.32 and 946.51

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Solution

The fourth proportional to 3,137.76, 4,707.32 and 946.51 is: 1,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.76 : 4,707.32 = 946.51 : x
  2. Step 2: Convert to fraction form
    3,137.76/4,707.32 = 946.51/x
  3. Step 3: Cross multiply
    3,137.76x = 4,707.32 × 946.51
  4. Step 4: Simplify right side
    3,137.76x = 4,455,508.95
  5. Step 5: Solve for x
    x = 4,455,508.95/3,137.76
  6. Step 6: Final answer
    x = 1,419.96

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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.