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Finding the Fourth Proportional to 4,407.63, 6,611.47 and 1,776.35

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Solution

The fourth proportional to 4,407.63, 6,611.47 and 1,776.35 is: 2,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.63 : 6,611.47 = 1,776.35 : x
  2. Step 2: Convert to fraction form
    4,407.63/6,611.47 = 1,776.35/x
  3. Step 3: Cross multiply
    4,407.63x = 6,611.47 × 1,776.35
  4. Step 4: Simplify right side
    4,407.63x = 11,744,269.62
  5. Step 5: Solve for x
    x = 11,744,269.62/4,407.63
  6. Step 6: Final answer
    x = 2,664.53

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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.