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Finding the Fourth Proportional to 3,932.67, 5,897.69 and 1,335

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Solution

The fourth proportional to 3,932.67, 5,897.69 and 1,335 is: 2,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.67 : 5,897.69 = 1,335 : x
  2. Step 2: Convert to fraction form
    3,932.67/5,897.69 = 1,335/x
  3. Step 3: Cross multiply
    3,932.67x = 5,897.69 × 1,335
  4. Step 4: Simplify right side
    3,932.67x = 7,873,416.15
  5. Step 5: Solve for x
    x = 7,873,416.15/3,932.67
  6. Step 6: Final answer
    x = 2,002.05

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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.