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Finding the Fourth Proportional to 4,417.64, 6,622.14 and 1,822.76

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Solution

The fourth proportional to 4,417.64, 6,622.14 and 1,822.76 is: 2,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.64 : 6,622.14 = 1,822.76 : x
  2. Step 2: Convert to fraction form
    4,417.64/6,622.14 = 1,822.76/x
  3. Step 3: Cross multiply
    4,417.64x = 6,622.14 × 1,822.76
  4. Step 4: Simplify right side
    4,417.64x = 12,070,571.91
  5. Step 5: Solve for x
    x = 12,070,571.91/4,417.64
  6. Step 6: Final answer
    x = 2,732.36

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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.