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Finding the Fourth Proportional to 4,199.47, 5,795.03 and 2,310.74

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Solution

The fourth proportional to 4,199.47, 5,795.03 and 2,310.74 is: 3,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.47 : 5,795.03 = 2,310.74 : x
  2. Step 2: Convert to fraction form
    4,199.47/5,795.03 = 2,310.74/x
  3. Step 3: Cross multiply
    4,199.47x = 5,795.03 × 2,310.74
  4. Step 4: Simplify right side
    4,199.47x = 13,390,838.75
  5. Step 5: Solve for x
    x = 13,390,838.75/4,199.47
  6. Step 6: Final answer
    x = 3,188.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.