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Finding the Fourth Proportional to 4,275.86, 6,413.58 and 1,503.14

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Solution

The fourth proportional to 4,275.86, 6,413.58 and 1,503.14 is: 2,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.86 : 6,413.58 = 1,503.14 : x
  2. Step 2: Convert to fraction form
    4,275.86/6,413.58 = 1,503.14/x
  3. Step 3: Cross multiply
    4,275.86x = 6,413.58 × 1,503.14
  4. Step 4: Simplify right side
    4,275.86x = 9,640,476.57
  5. Step 5: Solve for x
    x = 9,640,476.57/4,275.86
  6. Step 6: Final answer
    x = 2,254.63

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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.