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Finding the Fourth Proportional to 4,649.81, 6,416.94 and 2,660.99

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Solution

The fourth proportional to 4,649.81, 6,416.94 and 2,660.99 is: 3,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.81 : 6,416.94 = 2,660.99 : x
  2. Step 2: Convert to fraction form
    4,649.81/6,416.94 = 2,660.99/x
  3. Step 3: Cross multiply
    4,649.81x = 6,416.94 × 2,660.99
  4. Step 4: Simplify right side
    4,649.81x = 17,075,413.17
  5. Step 5: Solve for x
    x = 17,075,413.17/4,649.81
  6. Step 6: Final answer
    x = 3,672.28

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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.