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Finding the Fourth Proportional to 3,482.72, 4,804.80 and 2,224.60

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Solution

The fourth proportional to 3,482.72, 4,804.80 and 2,224.60 is: 3,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.72 : 4,804.80 = 2,224.60 : x
  2. Step 2: Convert to fraction form
    3,482.72/4,804.80 = 2,224.60/x
  3. Step 3: Cross multiply
    3,482.72x = 4,804.80 × 2,224.60
  4. Step 4: Simplify right side
    3,482.72x = 10,688,758.08
  5. Step 5: Solve for x
    x = 10,688,758.08/3,482.72
  6. Step 6: Final answer
    x = 3,069.08

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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.