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Finding the Fourth Proportional to 4,146, 5,726.34 and 2,746.32

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Solution

The fourth proportional to 4,146, 5,726.34 and 2,746.32 is: 3,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146 : 5,726.34 = 2,746.32 : x
  2. Step 2: Convert to fraction form
    4,146/5,726.34 = 2,746.32/x
  3. Step 3: Cross multiply
    4,146x = 5,726.34 × 2,746.32
  4. Step 4: Simplify right side
    4,146x = 15,726,362.07
  5. Step 5: Solve for x
    x = 15,726,362.07/4,146
  6. Step 6: Final answer
    x = 3,793.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.