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Finding the Fourth Proportional to 4,648.48, 6,413.80 and 2,660.14

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Solution

The fourth proportional to 4,648.48, 6,413.80 and 2,660.14 is: 3,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.48 : 6,413.80 = 2,660.14 : x
  2. Step 2: Convert to fraction form
    4,648.48/6,413.80 = 2,660.14/x
  3. Step 3: Cross multiply
    4,648.48x = 6,413.80 × 2,660.14
  4. Step 4: Simplify right side
    4,648.48x = 17,061,605.93
  5. Step 5: Solve for x
    x = 17,061,605.93/4,648.48
  6. Step 6: Final answer
    x = 3,670.36

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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.