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Finding the Fourth Proportional to 4,802.86, 7,205.16 and 2,337.69

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Solution

The fourth proportional to 4,802.86, 7,205.16 and 2,337.69 is: 3,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.86 : 7,205.16 = 2,337.69 : x
  2. Step 2: Convert to fraction form
    4,802.86/7,205.16 = 2,337.69/x
  3. Step 3: Cross multiply
    4,802.86x = 7,205.16 × 2,337.69
  4. Step 4: Simplify right side
    4,802.86x = 16,843,400.30
  5. Step 5: Solve for x
    x = 16,843,400.30/4,802.86
  6. Step 6: Final answer
    x = 3,506.95

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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.