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Finding the Fourth Proportional to 4,834.86, 7,253.78 and 4,274.45

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Solution

The fourth proportional to 4,834.86, 7,253.78 and 4,274.45 is: 6,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.86 : 7,253.78 = 4,274.45 : x
  2. Step 2: Convert to fraction form
    4,834.86/7,253.78 = 4,274.45/x
  3. Step 3: Cross multiply
    4,834.86x = 7,253.78 × 4,274.45
  4. Step 4: Simplify right side
    4,834.86x = 31,005,881.10
  5. Step 5: Solve for x
    x = 31,005,881.10/4,834.86
  6. Step 6: Final answer
    x = 6,412.98

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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.