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Finding the Fourth Proportional to 4,075.60, 6,129.60 and 3,654.40

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Solution

The fourth proportional to 4,075.60, 6,129.60 and 3,654.40 is: 5,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.60 : 6,129.60 = 3,654.40 : x
  2. Step 2: Convert to fraction form
    4,075.60/6,129.60 = 3,654.40/x
  3. Step 3: Cross multiply
    4,075.60x = 6,129.60 × 3,654.40
  4. Step 4: Simplify right side
    4,075.60x = 22,400,010.24
  5. Step 5: Solve for x
    x = 22,400,010.24/4,075.60
  6. Step 6: Final answer
    x = 5,496.13

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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.