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Finding the Fourth Proportional to 5,348.64, 7,381.14 and 2,990.78

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Solution

The fourth proportional to 5,348.64, 7,381.14 and 2,990.78 is: 4,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.64 : 7,381.14 = 2,990.78 : x
  2. Step 2: Convert to fraction form
    5,348.64/7,381.14 = 2,990.78/x
  3. Step 3: Cross multiply
    5,348.64x = 7,381.14 × 2,990.78
  4. Step 4: Simplify right side
    5,348.64x = 22,075,362.27
  5. Step 5: Solve for x
    x = 22,075,362.27/5,348.64
  6. Step 6: Final answer
    x = 4,127.29

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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.