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Finding the Fourth Proportional to 3,001.86, 4,497.93 and 1,539

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Solution

The fourth proportional to 3,001.86, 4,497.93 and 1,539 is: 2,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.86 : 4,497.93 = 1,539 : x
  2. Step 2: Convert to fraction form
    3,001.86/4,497.93 = 1,539/x
  3. Step 3: Cross multiply
    3,001.86x = 4,497.93 × 1,539
  4. Step 4: Simplify right side
    3,001.86x = 6,922,314.27
  5. Step 5: Solve for x
    x = 6,922,314.27/3,001.86
  6. Step 6: Final answer
    x = 2,306.01

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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.