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Finding the Fourth Proportional to 4,533.66, 6,262.77 and 4,297.20

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Solution

The fourth proportional to 4,533.66, 6,262.77 and 4,297.20 is: 5,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.66 : 6,262.77 = 4,297.20 : x
  2. Step 2: Convert to fraction form
    4,533.66/6,262.77 = 4,297.20/x
  3. Step 3: Cross multiply
    4,533.66x = 6,262.77 × 4,297.20
  4. Step 4: Simplify right side
    4,533.66x = 26,912,353.76
  5. Step 5: Solve for x
    x = 26,912,353.76/4,533.66
  6. Step 6: Final answer
    x = 5,936.12

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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.