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Finding the Fourth Proportional to 3,436, 4,740.96 and 2,317.12

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Solution

The fourth proportional to 3,436, 4,740.96 and 2,317.12 is: 3,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436 : 4,740.96 = 2,317.12 : x
  2. Step 2: Convert to fraction form
    3,436/4,740.96 = 2,317.12/x
  3. Step 3: Cross multiply
    3,436x = 4,740.96 × 2,317.12
  4. Step 4: Simplify right side
    3,436x = 10,985,373.24
  5. Step 5: Solve for x
    x = 10,985,373.24/3,436
  6. Step 6: Final answer
    x = 3,197.14

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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.