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Finding the Fourth Proportional to 4,424.72, 6,637.80 and 1,346

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Solution

The fourth proportional to 4,424.72, 6,637.80 and 1,346 is: 2,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.72 : 6,637.80 = 1,346 : x
  2. Step 2: Convert to fraction form
    4,424.72/6,637.80 = 1,346/x
  3. Step 3: Cross multiply
    4,424.72x = 6,637.80 × 1,346
  4. Step 4: Simplify right side
    4,424.72x = 8,934,478.80
  5. Step 5: Solve for x
    x = 8,934,478.80/4,424.72
  6. Step 6: Final answer
    x = 2,019.22

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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.