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Finding the Fourth Proportional to 4,200.60, 5,796.24 and 2,607.60

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Solution

The fourth proportional to 4,200.60, 5,796.24 and 2,607.60 is: 3,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.60 : 5,796.24 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    4,200.60/5,796.24 = 2,607.60/x
  3. Step 3: Cross multiply
    4,200.60x = 5,796.24 × 2,607.60
  4. Step 4: Simplify right side
    4,200.60x = 15,114,275.42
  5. Step 5: Solve for x
    x = 15,114,275.42/4,200.60
  6. Step 6: Final answer
    x = 3,598.12

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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.