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Finding the Fourth Proportional to 3,460.48, 5,190.08 and 1,512.32

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Solution

The fourth proportional to 3,460.48, 5,190.08 and 1,512.32 is: 2,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.48 : 5,190.08 = 1,512.32 : x
  2. Step 2: Convert to fraction form
    3,460.48/5,190.08 = 1,512.32/x
  3. Step 3: Cross multiply
    3,460.48x = 5,190.08 × 1,512.32
  4. Step 4: Simplify right side
    3,460.48x = 7,849,061.79
  5. Step 5: Solve for x
    x = 7,849,061.79/3,460.48
  6. Step 6: Final answer
    x = 2,268.20

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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.