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Finding the Fourth Proportional to 4,883.48, 7,326.30 and 2,285

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Solution

The fourth proportional to 4,883.48, 7,326.30 and 2,285 is: 3,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.48 : 7,326.30 = 2,285 : x
  2. Step 2: Convert to fraction form
    4,883.48/7,326.30 = 2,285/x
  3. Step 3: Cross multiply
    4,883.48x = 7,326.30 × 2,285
  4. Step 4: Simplify right side
    4,883.48x = 16,740,595.50
  5. Step 5: Solve for x
    x = 16,740,595.50/4,883.48
  6. Step 6: Final answer
    x = 3,428.01

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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.