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Finding the Fourth Proportional to 4,903.78, 7,356.59 and 1,617.11

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Solution

The fourth proportional to 4,903.78, 7,356.59 and 1,617.11 is: 2,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.78 : 7,356.59 = 1,617.11 : x
  2. Step 2: Convert to fraction form
    4,903.78/7,356.59 = 1,617.11/x
  3. Step 3: Cross multiply
    4,903.78x = 7,356.59 × 1,617.11
  4. Step 4: Simplify right side
    4,903.78x = 11,896,388.78
  5. Step 5: Solve for x
    x = 11,896,388.78/4,903.78
  6. Step 6: Final answer
    x = 2,425.96

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Why These Related Problems?

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