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Finding the Fourth Proportional to 4,834.86, 7,254.21 and 4,827.18

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Solution

The fourth proportional to 4,834.86, 7,254.21 and 4,827.18 is: 7,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.86 : 7,254.21 = 4,827.18 : x
  2. Step 2: Convert to fraction form
    4,834.86/7,254.21 = 4,827.18/x
  3. Step 3: Cross multiply
    4,834.86x = 7,254.21 × 4,827.18
  4. Step 4: Simplify right side
    4,834.86x = 35,017,377.43
  5. Step 5: Solve for x
    x = 35,017,377.43/4,834.86
  6. Step 6: Final answer
    x = 7,242.69

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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.