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Finding the Fourth Proportional to 4,506.22, 6,754.47 and 3,403

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Solution

The fourth proportional to 4,506.22, 6,754.47 and 3,403 is: 5,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.22 : 6,754.47 = 3,403 : x
  2. Step 2: Convert to fraction form
    4,506.22/6,754.47 = 3,403/x
  3. Step 3: Cross multiply
    4,506.22x = 6,754.47 × 3,403
  4. Step 4: Simplify right side
    4,506.22x = 22,985,461.41
  5. Step 5: Solve for x
    x = 22,985,461.41/4,506.22
  6. Step 6: Final answer
    x = 5,100.83

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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.