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Finding the Fourth Proportional to 5,790.60, 7,990.98 and 3,138

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Solution

The fourth proportional to 5,790.60, 7,990.98 and 3,138 is: 4,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.60 : 7,990.98 = 3,138 : x
  2. Step 2: Convert to fraction form
    5,790.60/7,990.98 = 3,138/x
  3. Step 3: Cross multiply
    5,790.60x = 7,990.98 × 3,138
  4. Step 4: Simplify right side
    5,790.60x = 25,075,695.24
  5. Step 5: Solve for x
    x = 25,075,695.24/5,790.60
  6. Step 6: Final answer
    x = 4,330.41

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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.