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Finding the Fourth Proportional to 5,314.95, 7,333.53 and 3,076.70

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Solution

The fourth proportional to 5,314.95, 7,333.53 and 3,076.70 is: 4,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.95 : 7,333.53 = 3,076.70 : x
  2. Step 2: Convert to fraction form
    5,314.95/7,333.53 = 3,076.70/x
  3. Step 3: Cross multiply
    5,314.95x = 7,333.53 × 3,076.70
  4. Step 4: Simplify right side
    5,314.95x = 22,563,071.75
  5. Step 5: Solve for x
    x = 22,563,071.75/5,314.95
  6. Step 6: Final answer
    x = 4,245.21

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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.