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Finding the Fourth Proportional to 5,308.17, 7,962.63 and 1,610.70

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Solution

The fourth proportional to 5,308.17, 7,962.63 and 1,610.70 is: 2,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.17 : 7,962.63 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    5,308.17/7,962.63 = 1,610.70/x
  3. Step 3: Cross multiply
    5,308.17x = 7,962.63 × 1,610.70
  4. Step 4: Simplify right side
    5,308.17x = 12,825,408.14
  5. Step 5: Solve for x
    x = 12,825,408.14/5,308.17
  6. Step 6: Final answer
    x = 2,416.16

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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.