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Finding the Fourth Proportional to 3,357.88, 4,633.76 and 1,865.76

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Solution

The fourth proportional to 3,357.88, 4,633.76 and 1,865.76 is: 2,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.88 : 4,633.76 = 1,865.76 : x
  2. Step 2: Convert to fraction form
    3,357.88/4,633.76 = 1,865.76/x
  3. Step 3: Cross multiply
    3,357.88x = 4,633.76 × 1,865.76
  4. Step 4: Simplify right side
    3,357.88x = 8,645,484.06
  5. Step 5: Solve for x
    x = 8,645,484.06/3,357.88
  6. Step 6: Final answer
    x = 2,574.69

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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.