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Finding the Fourth Proportional to 3,716.06, 5,569.22 and 2,784.30

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Solution

The fourth proportional to 3,716.06, 5,569.22 and 2,784.30 is: 4,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.06 : 5,569.22 = 2,784.30 : x
  2. Step 2: Convert to fraction form
    3,716.06/5,569.22 = 2,784.30/x
  3. Step 3: Cross multiply
    3,716.06x = 5,569.22 × 2,784.30
  4. Step 4: Simplify right side
    3,716.06x = 15,506,379.25
  5. Step 5: Solve for x
    x = 15,506,379.25/3,716.06
  6. Step 6: Final answer
    x = 4,172.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.