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Finding the Fourth Proportional to 4,758.48, 7,134.98 and 1,836.40

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Solution

The fourth proportional to 4,758.48, 7,134.98 and 1,836.40 is: 2,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.48 : 7,134.98 = 1,836.40 : x
  2. Step 2: Convert to fraction form
    4,758.48/7,134.98 = 1,836.40/x
  3. Step 3: Cross multiply
    4,758.48x = 7,134.98 × 1,836.40
  4. Step 4: Simplify right side
    4,758.48x = 13,102,677.27
  5. Step 5: Solve for x
    x = 13,102,677.27/4,758.48
  6. Step 6: Final answer
    x = 2,753.54

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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.