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Finding the Fourth Proportional to 3,460.59, 5,190.48 and 1,152.09

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Solution

The fourth proportional to 3,460.59, 5,190.48 and 1,152.09 is: 1,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.59 : 5,190.48 = 1,152.09 : x
  2. Step 2: Convert to fraction form
    3,460.59/5,190.48 = 1,152.09/x
  3. Step 3: Cross multiply
    3,460.59x = 5,190.48 × 1,152.09
  4. Step 4: Simplify right side
    3,460.59x = 5,979,900.10
  5. Step 5: Solve for x
    x = 5,979,900.10/3,460.59
  6. Step 6: Final answer
    x = 1,728.00

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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.