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Finding the Fourth Proportional to 4,294.70, 6,444.24 and 2,045.77

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Solution

The fourth proportional to 4,294.70, 6,444.24 and 2,045.77 is: 3,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.70 : 6,444.24 = 2,045.77 : x
  2. Step 2: Convert to fraction form
    4,294.70/6,444.24 = 2,045.77/x
  3. Step 3: Cross multiply
    4,294.70x = 6,444.24 × 2,045.77
  4. Step 4: Simplify right side
    4,294.70x = 13,183,390.41
  5. Step 5: Solve for x
    x = 13,183,390.41/4,294.70
  6. Step 6: Final answer
    x = 3,069.69

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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.