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Finding the Fourth Proportional to 5,347.81, 7,380 and 2,989.95

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Solution

The fourth proportional to 5,347.81, 7,380 and 2,989.95 is: 4,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.81 : 7,380 = 2,989.95 : x
  2. Step 2: Convert to fraction form
    5,347.81/7,380 = 2,989.95/x
  3. Step 3: Cross multiply
    5,347.81x = 7,380 × 2,989.95
  4. Step 4: Simplify right side
    5,347.81x = 22,065,803.33
  5. Step 5: Solve for x
    x = 22,065,803.33/5,347.81
  6. Step 6: Final answer
    x = 4,126.14

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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.