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Finding the Fourth Proportional to 5,575.53, 7,687.50 and 4,817.94

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Solution

The fourth proportional to 5,575.53, 7,687.50 and 4,817.94 is: 6,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.53 : 7,687.50 = 4,817.94 : x
  2. Step 2: Convert to fraction form
    5,575.53/7,687.50 = 4,817.94/x
  3. Step 3: Cross multiply
    5,575.53x = 7,687.50 × 4,817.94
  4. Step 4: Simplify right side
    5,575.53x = 37,037,913.75
  5. Step 5: Solve for x
    x = 37,037,913.75/5,575.53
  6. Step 6: Final answer
    x = 6,642.94

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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.