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Finding the Fourth Proportional to 5,723.76, 7,897.90 and 3,486.36

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Solution

The fourth proportional to 5,723.76, 7,897.90 and 3,486.36 is: 4,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.76 : 7,897.90 = 3,486.36 : x
  2. Step 2: Convert to fraction form
    5,723.76/7,897.90 = 3,486.36/x
  3. Step 3: Cross multiply
    5,723.76x = 7,897.90 × 3,486.36
  4. Step 4: Simplify right side
    5,723.76x = 27,534,922.64
  5. Step 5: Solve for x
    x = 27,534,922.64/5,723.76
  6. Step 6: Final answer
    x = 4,810.64

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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.