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Finding the Fourth Proportional to 5,310.68, 7,966.03 and 1,612.93

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Solution

The fourth proportional to 5,310.68, 7,966.03 and 1,612.93 is: 2,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.68 : 7,966.03 = 1,612.93 : x
  2. Step 2: Convert to fraction form
    5,310.68/7,966.03 = 1,612.93/x
  3. Step 3: Cross multiply
    5,310.68x = 7,966.03 × 1,612.93
  4. Step 4: Simplify right side
    5,310.68x = 12,848,648.77
  5. Step 5: Solve for x
    x = 12,848,648.77/5,310.68
  6. Step 6: Final answer
    x = 2,419.40

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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.