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Finding the Fourth Proportional to 4,606.53, 6,902.38 and 2,756.76

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Solution

The fourth proportional to 4,606.53, 6,902.38 and 2,756.76 is: 4,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.53 : 6,902.38 = 2,756.76 : x
  2. Step 2: Convert to fraction form
    4,606.53/6,902.38 = 2,756.76/x
  3. Step 3: Cross multiply
    4,606.53x = 6,902.38 × 2,756.76
  4. Step 4: Simplify right side
    4,606.53x = 19,028,205.09
  5. Step 5: Solve for x
    x = 19,028,205.09/4,606.53
  6. Step 6: Final answer
    x = 4,130.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.