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Finding the Fourth Proportional to 4,291.96, 5,926.68 and 4,152.52

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Solution

The fourth proportional to 4,291.96, 5,926.68 and 4,152.52 is: 5,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.96 : 5,926.68 = 4,152.52 : x
  2. Step 2: Convert to fraction form
    4,291.96/5,926.68 = 4,152.52/x
  3. Step 3: Cross multiply
    4,291.96x = 5,926.68 × 4,152.52
  4. Step 4: Simplify right side
    4,291.96x = 24,610,657.23
  5. Step 5: Solve for x
    x = 24,610,657.23/4,291.96
  6. Step 6: Final answer
    x = 5,734.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.