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Finding the Fourth Proportional to 4,646.81, 6,413.02 and 2,551.34

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Solution

The fourth proportional to 4,646.81, 6,413.02 and 2,551.34 is: 3,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.81 : 6,413.02 = 2,551.34 : x
  2. Step 2: Convert to fraction form
    4,646.81/6,413.02 = 2,551.34/x
  3. Step 3: Cross multiply
    4,646.81x = 6,413.02 × 2,551.34
  4. Step 4: Simplify right side
    4,646.81x = 16,361,804.10
  5. Step 5: Solve for x
    x = 16,361,804.10/4,646.81
  6. Step 6: Final answer
    x = 3,521.08

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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.