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Finding the Fourth Proportional to 4,570.77, 6,856.43 and 1,284.12

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Solution

The fourth proportional to 4,570.77, 6,856.43 and 1,284.12 is: 1,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.77 : 6,856.43 = 1,284.12 : x
  2. Step 2: Convert to fraction form
    4,570.77/6,856.43 = 1,284.12/x
  3. Step 3: Cross multiply
    4,570.77x = 6,856.43 × 1,284.12
  4. Step 4: Simplify right side
    4,570.77x = 8,804,493.56
  5. Step 5: Solve for x
    x = 8,804,493.56/4,570.77
  6. Step 6: Final answer
    x = 1,926.26

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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.