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Finding the Fourth Proportional to 3,406.51, 4,706.93 and 2,816.02

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Solution

The fourth proportional to 3,406.51, 4,706.93 and 2,816.02 is: 3,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.51 : 4,706.93 = 2,816.02 : x
  2. Step 2: Convert to fraction form
    3,406.51/4,706.93 = 2,816.02/x
  3. Step 3: Cross multiply
    3,406.51x = 4,706.93 × 2,816.02
  4. Step 4: Simplify right side
    3,406.51x = 13,254,809.02
  5. Step 5: Solve for x
    x = 13,254,809.02/3,406.51
  6. Step 6: Final answer
    x = 3,891.02

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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.