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Finding the Fourth Proportional to 4,618.95, 6,930.47 and 2,427.18

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Solution

The fourth proportional to 4,618.95, 6,930.47 and 2,427.18 is: 3,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.95 : 6,930.47 = 2,427.18 : x
  2. Step 2: Convert to fraction form
    4,618.95/6,930.47 = 2,427.18/x
  3. Step 3: Cross multiply
    4,618.95x = 6,930.47 × 2,427.18
  4. Step 4: Simplify right side
    4,618.95x = 16,821,498.17
  5. Step 5: Solve for x
    x = 16,821,498.17/4,618.95
  6. Step 6: Final answer
    x = 3,641.84

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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.