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Finding the Fourth Proportional to 5,302.52, 7,955.12 and 1,604.80

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Solution

The fourth proportional to 5,302.52, 7,955.12 and 1,604.80 is: 2,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.52 : 7,955.12 = 1,604.80 : x
  2. Step 2: Convert to fraction form
    5,302.52/7,955.12 = 1,604.80/x
  3. Step 3: Cross multiply
    5,302.52x = 7,955.12 × 1,604.80
  4. Step 4: Simplify right side
    5,302.52x = 12,766,376.58
  5. Step 5: Solve for x
    x = 12,766,376.58/5,302.52
  6. Step 6: Final answer
    x = 2,407.61

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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.