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Finding the Fourth Proportional to 4,696.08, 7,044.12 and 1,575.84

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Solution

The fourth proportional to 4,696.08, 7,044.12 and 1,575.84 is: 2,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.08 : 7,044.12 = 1,575.84 : x
  2. Step 2: Convert to fraction form
    4,696.08/7,044.12 = 1,575.84/x
  3. Step 3: Cross multiply
    4,696.08x = 7,044.12 × 1,575.84
  4. Step 4: Simplify right side
    4,696.08x = 11,100,406.06
  5. Step 5: Solve for x
    x = 11,100,406.06/4,696.08
  6. Step 6: Final answer
    x = 2,363.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.