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Finding the Fourth Proportional to 4,905.04, 7,357.88 and 1,442

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Solution

The fourth proportional to 4,905.04, 7,357.88 and 1,442 is: 2,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.04 : 7,357.88 = 1,442 : x
  2. Step 2: Convert to fraction form
    4,905.04/7,357.88 = 1,442/x
  3. Step 3: Cross multiply
    4,905.04x = 7,357.88 × 1,442
  4. Step 4: Simplify right side
    4,905.04x = 10,610,062.96
  5. Step 5: Solve for x
    x = 10,610,062.96/4,905.04
  6. Step 6: Final answer
    x = 2,163.09

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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.