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Finding the Fourth Proportional to 5,307.57, 7,962.80 and 1,609.92

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Solution

The fourth proportional to 5,307.57, 7,962.80 and 1,609.92 is: 2,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.57 : 7,962.80 = 1,609.92 : x
  2. Step 2: Convert to fraction form
    5,307.57/7,962.80 = 1,609.92/x
  3. Step 3: Cross multiply
    5,307.57x = 7,962.80 × 1,609.92
  4. Step 4: Simplify right side
    5,307.57x = 12,819,462.93
  5. Step 5: Solve for x
    x = 12,819,462.93/5,307.57
  6. Step 6: Final answer
    x = 2,415.32

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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.