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Finding the Fourth Proportional to 4,101.56, 6,152.12 and 1,328.16

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Solution

The fourth proportional to 4,101.56, 6,152.12 and 1,328.16 is: 1,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.56 : 6,152.12 = 1,328.16 : x
  2. Step 2: Convert to fraction form
    4,101.56/6,152.12 = 1,328.16/x
  3. Step 3: Cross multiply
    4,101.56x = 6,152.12 × 1,328.16
  4. Step 4: Simplify right side
    4,101.56x = 8,170,999.70
  5. Step 5: Solve for x
    x = 8,170,999.70/4,101.56
  6. Step 6: Final answer
    x = 1,992.17

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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.