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Finding the Fourth Proportional to 4,275.92, 6,413.92 and 1,354

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Solution

The fourth proportional to 4,275.92, 6,413.92 and 1,354 is: 2,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.92 : 6,413.92 = 1,354 : x
  2. Step 2: Convert to fraction form
    4,275.92/6,413.92 = 1,354/x
  3. Step 3: Cross multiply
    4,275.92x = 6,413.92 × 1,354
  4. Step 4: Simplify right side
    4,275.92x = 8,684,447.68
  5. Step 5: Solve for x
    x = 8,684,447.68/4,275.92
  6. Step 6: Final answer
    x = 2,031.01

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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.