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Finding the Fourth Proportional to 5,719.16, 7,883.22 and 4,037.90

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Solution

The fourth proportional to 5,719.16, 7,883.22 and 4,037.90 is: 5,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.16 : 7,883.22 = 4,037.90 : x
  2. Step 2: Convert to fraction form
    5,719.16/7,883.22 = 4,037.90/x
  3. Step 3: Cross multiply
    5,719.16x = 7,883.22 × 4,037.90
  4. Step 4: Simplify right side
    5,719.16x = 31,831,674.11
  5. Step 5: Solve for x
    x = 31,831,674.11/5,719.16
  6. Step 6: Final answer
    x = 5,565.80

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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.