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Finding the Fourth Proportional to 5,274.96, 7,876.16 and 4,653.78

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Solution

The fourth proportional to 5,274.96, 7,876.16 and 4,653.78 is: 6,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.96 : 7,876.16 = 4,653.78 : x
  2. Step 2: Convert to fraction form
    5,274.96/7,876.16 = 4,653.78/x
  3. Step 3: Cross multiply
    5,274.96x = 7,876.16 × 4,653.78
  4. Step 4: Simplify right side
    5,274.96x = 36,653,892.62
  5. Step 5: Solve for x
    x = 36,653,892.62/5,274.96
  6. Step 6: Final answer
    x = 6,948.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.