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Finding the Fourth Proportional to 4,116.84, 5,681.17 and 2,253.84

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Solution

The fourth proportional to 4,116.84, 5,681.17 and 2,253.84 is: 3,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.84 : 5,681.17 = 2,253.84 : x
  2. Step 2: Convert to fraction form
    4,116.84/5,681.17 = 2,253.84/x
  3. Step 3: Cross multiply
    4,116.84x = 5,681.17 × 2,253.84
  4. Step 4: Simplify right side
    4,116.84x = 12,804,448.19
  5. Step 5: Solve for x
    x = 12,804,448.19/4,116.84
  6. Step 6: Final answer
    x = 3,110.26

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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.