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Finding the Fourth Proportional to 3,050.29, 4,575.62 and 859.21

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Solution

The fourth proportional to 3,050.29, 4,575.62 and 859.21 is: 1,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.29 : 4,575.62 = 859.21 : x
  2. Step 2: Convert to fraction form
    3,050.29/4,575.62 = 859.21/x
  3. Step 3: Cross multiply
    3,050.29x = 4,575.62 × 859.21
  4. Step 4: Simplify right side
    3,050.29x = 3,931,409.17
  5. Step 5: Solve for x
    x = 3,931,409.17/3,050.29
  6. Step 6: Final answer
    x = 1,288.86

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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.