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Finding the Fourth Proportional to 4,275.71, 6,413.03 and 1,155.47

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Solution

The fourth proportional to 4,275.71, 6,413.03 and 1,155.47 is: 1,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.71 : 6,413.03 = 1,155.47 : x
  2. Step 2: Convert to fraction form
    4,275.71/6,413.03 = 1,155.47/x
  3. Step 3: Cross multiply
    4,275.71x = 6,413.03 × 1,155.47
  4. Step 4: Simplify right side
    4,275.71x = 7,410,025.93
  5. Step 5: Solve for x
    x = 7,410,025.93/4,275.71
  6. Step 6: Final answer
    x = 1,733.05

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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.