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Finding the Fourth Proportional to 4,727.06, 6,521.10 and 3,671.90

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Solution

The fourth proportional to 4,727.06, 6,521.10 and 3,671.90 is: 5,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.06 : 6,521.10 = 3,671.90 : x
  2. Step 2: Convert to fraction form
    4,727.06/6,521.10 = 3,671.90/x
  3. Step 3: Cross multiply
    4,727.06x = 6,521.10 × 3,671.90
  4. Step 4: Simplify right side
    4,727.06x = 23,944,827.09
  5. Step 5: Solve for x
    x = 23,944,827.09/4,727.06
  6. Step 6: Final answer
    x = 5,065.48

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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.