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Finding the Fourth Proportional to 4,862.06, 6,709.47 and 2,845.90

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Solution

The fourth proportional to 4,862.06, 6,709.47 and 2,845.90 is: 3,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.06 : 6,709.47 = 2,845.90 : x
  2. Step 2: Convert to fraction form
    4,862.06/6,709.47 = 2,845.90/x
  3. Step 3: Cross multiply
    4,862.06x = 6,709.47 × 2,845.90
  4. Step 4: Simplify right side
    4,862.06x = 19,094,478.39
  5. Step 5: Solve for x
    x = 19,094,478.39/4,862.06
  6. Step 6: Final answer
    x = 3,927.24

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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.