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Finding the Fourth Proportional to 4,648.47, 6,413.31 and 2,657.62

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Solution

The fourth proportional to 4,648.47, 6,413.31 and 2,657.62 is: 3,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.47 : 6,413.31 = 2,657.62 : x
  2. Step 2: Convert to fraction form
    4,648.47/6,413.31 = 2,657.62/x
  3. Step 3: Cross multiply
    4,648.47x = 6,413.31 × 2,657.62
  4. Step 4: Simplify right side
    4,648.47x = 17,044,140.92
  5. Step 5: Solve for x
    x = 17,044,140.92/4,648.47
  6. Step 6: Final answer
    x = 3,666.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.