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Finding the Fourth Proportional to 4,574.35, 6,858.95 and 1,453.78

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Solution

The fourth proportional to 4,574.35, 6,858.95 and 1,453.78 is: 2,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.35 : 6,858.95 = 1,453.78 : x
  2. Step 2: Convert to fraction form
    4,574.35/6,858.95 = 1,453.78/x
  3. Step 3: Cross multiply
    4,574.35x = 6,858.95 × 1,453.78
  4. Step 4: Simplify right side
    4,574.35x = 9,971,397.06
  5. Step 5: Solve for x
    x = 9,971,397.06/4,574.35
  6. Step 6: Final answer
    x = 2,179.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.