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Finding the Fourth Proportional to 3,402.47, 4,696.18 and 2,222.87

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Solution

The fourth proportional to 3,402.47, 4,696.18 and 2,222.87 is: 3,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.47 : 4,696.18 = 2,222.87 : x
  2. Step 2: Convert to fraction form
    3,402.47/4,696.18 = 2,222.87/x
  3. Step 3: Cross multiply
    3,402.47x = 4,696.18 × 2,222.87
  4. Step 4: Simplify right side
    3,402.47x = 10,438,968.60
  5. Step 5: Solve for x
    x = 10,438,968.60/3,402.47
  6. Step 6: Final answer
    x = 3,068.05

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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.