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Finding the Fourth Proportional to 4,897.32, 7,338.84 and 2,265.63

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Solution

The fourth proportional to 4,897.32, 7,338.84 and 2,265.63 is: 3,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.32 : 7,338.84 = 2,265.63 : x
  2. Step 2: Convert to fraction form
    4,897.32/7,338.84 = 2,265.63/x
  3. Step 3: Cross multiply
    4,897.32x = 7,338.84 × 2,265.63
  4. Step 4: Simplify right side
    4,897.32x = 16,627,096.07
  5. Step 5: Solve for x
    x = 16,627,096.07/4,897.32
  6. Step 6: Final answer
    x = 3,395.14

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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.