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Finding the Fourth Proportional to 4,802.06, 7,191.84 and 2,328.86

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Solution

The fourth proportional to 4,802.06, 7,191.84 and 2,328.86 is: 3,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.06 : 7,191.84 = 2,328.86 : x
  2. Step 2: Convert to fraction form
    4,802.06/7,191.84 = 2,328.86/x
  3. Step 3: Cross multiply
    4,802.06x = 7,191.84 × 2,328.86
  4. Step 4: Simplify right side
    4,802.06x = 16,748,788.50
  5. Step 5: Solve for x
    x = 16,748,788.50/4,802.06
  6. Step 6: Final answer
    x = 3,487.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.