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Finding the Fourth Proportional to 5,314.86, 7,334.19 and 3,076.56

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Solution

The fourth proportional to 5,314.86, 7,334.19 and 3,076.56 is: 4,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.86 : 7,334.19 = 3,076.56 : x
  2. Step 2: Convert to fraction form
    5,314.86/7,334.19 = 3,076.56/x
  3. Step 3: Cross multiply
    5,314.86x = 7,334.19 × 3,076.56
  4. Step 4: Simplify right side
    5,314.86x = 22,564,075.59
  5. Step 5: Solve for x
    x = 22,564,075.59/5,314.86
  6. Step 6: Final answer
    x = 4,245.47

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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.