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Finding the Fourth Proportional to 4,262.34, 5,884.93 and 2,669.64

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Solution

The fourth proportional to 4,262.34, 5,884.93 and 2,669.64 is: 3,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.34 : 5,884.93 = 2,669.64 : x
  2. Step 2: Convert to fraction form
    4,262.34/5,884.93 = 2,669.64/x
  3. Step 3: Cross multiply
    4,262.34x = 5,884.93 × 2,669.64
  4. Step 4: Simplify right side
    4,262.34x = 15,710,644.53
  5. Step 5: Solve for x
    x = 15,710,644.53/4,262.34
  6. Step 6: Final answer
    x = 3,685.92

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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.