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Finding the Fourth Proportional to 4,654.17, 6,978.54 and 1,533.33

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Solution

The fourth proportional to 4,654.17, 6,978.54 and 1,533.33 is: 2,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.17 : 6,978.54 = 1,533.33 : x
  2. Step 2: Convert to fraction form
    4,654.17/6,978.54 = 1,533.33/x
  3. Step 3: Cross multiply
    4,654.17x = 6,978.54 × 1,533.33
  4. Step 4: Simplify right side
    4,654.17x = 10,700,408.33
  5. Step 5: Solve for x
    x = 10,700,408.33/4,654.17
  6. Step 6: Final answer
    x = 2,299.10

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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.