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Finding the Fourth Proportional to 4,294.91, 5,926.86 and 2,526.64

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Solution

The fourth proportional to 4,294.91, 5,926.86 and 2,526.64 is: 3,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.91 : 5,926.86 = 2,526.64 : x
  2. Step 2: Convert to fraction form
    4,294.91/5,926.86 = 2,526.64/x
  3. Step 3: Cross multiply
    4,294.91x = 5,926.86 × 2,526.64
  4. Step 4: Simplify right side
    4,294.91x = 14,975,026.73
  5. Step 5: Solve for x
    x = 14,975,026.73/4,294.91
  6. Step 6: Final answer
    x = 3,486.69

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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.