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Finding the Fourth Proportional to 4,696.88, 7,043.63 and 1,575.95

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Solution

The fourth proportional to 4,696.88, 7,043.63 and 1,575.95 is: 2,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.88 : 7,043.63 = 1,575.95 : x
  2. Step 2: Convert to fraction form
    4,696.88/7,043.63 = 1,575.95/x
  3. Step 3: Cross multiply
    4,696.88x = 7,043.63 × 1,575.95
  4. Step 4: Simplify right side
    4,696.88x = 11,100,365.60
  5. Step 5: Solve for x
    x = 11,100,365.60/4,696.88
  6. Step 6: Final answer
    x = 2,363.35

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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.