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Finding the Fourth Proportional to 5,287.64, 7,296.93 and 2,897.61

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Solution

The fourth proportional to 5,287.64, 7,296.93 and 2,897.61 is: 3,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.64 : 7,296.93 = 2,897.61 : x
  2. Step 2: Convert to fraction form
    5,287.64/7,296.93 = 2,897.61/x
  3. Step 3: Cross multiply
    5,287.64x = 7,296.93 × 2,897.61
  4. Step 4: Simplify right side
    5,287.64x = 21,143,657.34
  5. Step 5: Solve for x
    x = 21,143,657.34/5,287.64
  6. Step 6: Final answer
    x = 3,998.69

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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.