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Finding the Fourth Proportional to 3,358.74, 4,635 and 1,866.63

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Solution

The fourth proportional to 3,358.74, 4,635 and 1,866.63 is: 2,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.74 : 4,635 = 1,866.63 : x
  2. Step 2: Convert to fraction form
    3,358.74/4,635 = 1,866.63/x
  3. Step 3: Cross multiply
    3,358.74x = 4,635 × 1,866.63
  4. Step 4: Simplify right side
    3,358.74x = 8,651,830.05
  5. Step 5: Solve for x
    x = 8,651,830.05/3,358.74
  6. Step 6: Final answer
    x = 2,575.92

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