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Finding the Fourth Proportional to 5,204.08, 7,803.60 and 2,605.60

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Solution

The fourth proportional to 5,204.08, 7,803.60 and 2,605.60 is: 3,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.08 : 7,803.60 = 2,605.60 : x
  2. Step 2: Convert to fraction form
    5,204.08/7,803.60 = 2,605.60/x
  3. Step 3: Cross multiply
    5,204.08x = 7,803.60 × 2,605.60
  4. Step 4: Simplify right side
    5,204.08x = 20,333,060.16
  5. Step 5: Solve for x
    x = 20,333,060.16/5,204.08
  6. Step 6: Final answer
    x = 3,907.14

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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.