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Finding the Fourth Proportional to 3,358.86, 4,634.51 and 1,866.46

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Solution

The fourth proportional to 3,358.86, 4,634.51 and 1,866.46 is: 2,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.86 : 4,634.51 = 1,866.46 : x
  2. Step 2: Convert to fraction form
    3,358.86/4,634.51 = 1,866.46/x
  3. Step 3: Cross multiply
    3,358.86x = 4,634.51 × 1,866.46
  4. Step 4: Simplify right side
    3,358.86x = 8,650,127.53
  5. Step 5: Solve for x
    x = 8,650,127.53/3,358.86
  6. Step 6: Final answer
    x = 2,575.32

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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.