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Finding the Fourth Proportional to 5,072.66, 6,997.65 and 3,210.74

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Solution

The fourth proportional to 5,072.66, 6,997.65 and 3,210.74 is: 4,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.66 : 6,997.65 = 3,210.74 : x
  2. Step 2: Convert to fraction form
    5,072.66/6,997.65 = 3,210.74/x
  3. Step 3: Cross multiply
    5,072.66x = 6,997.65 × 3,210.74
  4. Step 4: Simplify right side
    5,072.66x = 22,467,634.76
  5. Step 5: Solve for x
    x = 22,467,634.76/5,072.66
  6. Step 6: Final answer
    x = 4,429.16

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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.