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Finding the Fourth Proportional to 4,846.68, 7,265.40 and 1,557.47

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Solution

The fourth proportional to 4,846.68, 7,265.40 and 1,557.47 is: 2,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.68 : 7,265.40 = 1,557.47 : x
  2. Step 2: Convert to fraction form
    4,846.68/7,265.40 = 1,557.47/x
  3. Step 3: Cross multiply
    4,846.68x = 7,265.40 × 1,557.47
  4. Step 4: Simplify right side
    4,846.68x = 11,315,606.21
  5. Step 5: Solve for x
    x = 11,315,606.21/4,846.68
  6. Step 6: Final answer
    x = 2,334.71

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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.