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Finding the Fourth Proportional to 4,274.16, 6,413.04 and 2,082.88

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Solution

The fourth proportional to 4,274.16, 6,413.04 and 2,082.88 is: 3,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.16 : 6,413.04 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    4,274.16/6,413.04 = 2,082.88/x
  3. Step 3: Cross multiply
    4,274.16x = 6,413.04 × 2,082.88
  4. Step 4: Simplify right side
    4,274.16x = 13,357,592.76
  5. Step 5: Solve for x
    x = 13,357,592.76/4,274.16
  6. Step 6: Final answer
    x = 3,125.20

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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.