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Finding the Fourth Proportional to 4,774.95, 6,589.25 and 2,886.64

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Solution

The fourth proportional to 4,774.95, 6,589.25 and 2,886.64 is: 3,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.95 : 6,589.25 = 2,886.64 : x
  2. Step 2: Convert to fraction form
    4,774.95/6,589.25 = 2,886.64/x
  3. Step 3: Cross multiply
    4,774.95x = 6,589.25 × 2,886.64
  4. Step 4: Simplify right side
    4,774.95x = 19,020,772.54
  5. Step 5: Solve for x
    x = 19,020,772.54/4,774.95
  6. Step 6: Final answer
    x = 3,983.45

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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.