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Finding the Fourth Proportional to 4,555.84, 6,841.68 and 4,322.20

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Solution

The fourth proportional to 4,555.84, 6,841.68 and 4,322.20 is: 6,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555.84 : 6,841.68 = 4,322.20 : x
  2. Step 2: Convert to fraction form
    4,555.84/6,841.68 = 4,322.20/x
  3. Step 3: Cross multiply
    4,555.84x = 6,841.68 × 4,322.20
  4. Step 4: Simplify right side
    4,555.84x = 29,571,109.30
  5. Step 5: Solve for x
    x = 29,571,109.30/4,555.84
  6. Step 6: Final answer
    x = 6,490.81

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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.