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Finding the Fourth Proportional to 3,926.08, 5,888 and 2,283.52

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Solution

The fourth proportional to 3,926.08, 5,888 and 2,283.52 is: 3,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.08 : 5,888 = 2,283.52 : x
  2. Step 2: Convert to fraction form
    3,926.08/5,888 = 2,283.52/x
  3. Step 3: Cross multiply
    3,926.08x = 5,888 × 2,283.52
  4. Step 4: Simplify right side
    3,926.08x = 13,445,365.76
  5. Step 5: Solve for x
    x = 13,445,365.76/3,926.08
  6. Step 6: Final answer
    x = 3,424.63

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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.