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Finding the Fourth Proportional to 4,564, 6,846.90 and 1,444.47

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Solution

The fourth proportional to 4,564, 6,846.90 and 1,444.47 is: 2,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,846.90 = 1,444.47 : x
  2. Step 2: Convert to fraction form
    4,564/6,846.90 = 1,444.47/x
  3. Step 3: Cross multiply
    4,564x = 6,846.90 × 1,444.47
  4. Step 4: Simplify right side
    4,564x = 9,890,141.64
  5. Step 5: Solve for x
    x = 9,890,141.64/4,564
  6. Step 6: Final answer
    x = 2,166.99

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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.