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Finding the Fourth Proportional to 4,119.66, 5,683.16 and 2,702.77

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Solution

The fourth proportional to 4,119.66, 5,683.16 and 2,702.77 is: 3,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.66 : 5,683.16 = 2,702.77 : x
  2. Step 2: Convert to fraction form
    4,119.66/5,683.16 = 2,702.77/x
  3. Step 3: Cross multiply
    4,119.66x = 5,683.16 × 2,702.77
  4. Step 4: Simplify right side
    4,119.66x = 15,360,266.90
  5. Step 5: Solve for x
    x = 15,360,266.90/4,119.66
  6. Step 6: Final answer
    x = 3,728.53

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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.