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Finding the Fourth Proportional to 3,458.43, 4,776.59 and 2,284.74

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Solution

The fourth proportional to 3,458.43, 4,776.59 and 2,284.74 is: 3,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.43 : 4,776.59 = 2,284.74 : x
  2. Step 2: Convert to fraction form
    3,458.43/4,776.59 = 2,284.74/x
  3. Step 3: Cross multiply
    3,458.43x = 4,776.59 × 2,284.74
  4. Step 4: Simplify right side
    3,458.43x = 10,913,271.95
  5. Step 5: Solve for x
    x = 10,913,271.95/3,458.43
  6. Step 6: Final answer
    x = 3,155.56

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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.