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Finding the Fourth Proportional to 4,132.80, 5,583.60 and 4,132.80

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Solution

The fourth proportional to 4,132.80, 5,583.60 and 4,132.80 is: 5,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.80 : 5,583.60 = 4,132.80 : x
  2. Step 2: Convert to fraction form
    4,132.80/5,583.60 = 4,132.80/x
  3. Step 3: Cross multiply
    4,132.80x = 5,583.60 × 4,132.80
  4. Step 4: Simplify right side
    4,132.80x = 23,075,902.08
  5. Step 5: Solve for x
    x = 23,075,902.08/4,132.80
  6. Step 6: Final answer
    x = 5,583.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.