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Finding the Fourth Proportional to 3,122.53, 4,702.27 and 2,716.57

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Solution

The fourth proportional to 3,122.53, 4,702.27 and 2,716.57 is: 4,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.53 : 4,702.27 = 2,716.57 : x
  2. Step 2: Convert to fraction form
    3,122.53/4,702.27 = 2,716.57/x
  3. Step 3: Cross multiply
    3,122.53x = 4,702.27 × 2,716.57
  4. Step 4: Simplify right side
    3,122.53x = 12,774,045.61
  5. Step 5: Solve for x
    x = 12,774,045.61/3,122.53
  6. Step 6: Final answer
    x = 4,090.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.