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Finding the Fourth Proportional to 5,089.20, 7,636.20 and 1,803.84

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Solution

The fourth proportional to 5,089.20, 7,636.20 and 1,803.84 is: 2,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.20 : 7,636.20 = 1,803.84 : x
  2. Step 2: Convert to fraction form
    5,089.20/7,636.20 = 1,803.84/x
  3. Step 3: Cross multiply
    5,089.20x = 7,636.20 × 1,803.84
  4. Step 4: Simplify right side
    5,089.20x = 13,774,483.01
  5. Step 5: Solve for x
    x = 13,774,483.01/5,089.20
  6. Step 6: Final answer
    x = 2,706.61

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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.