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Finding the Fourth Proportional to 4,408.76, 6,613.74 and 2,071.16

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Solution

The fourth proportional to 4,408.76, 6,613.74 and 2,071.16 is: 3,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408.76 : 6,613.74 = 2,071.16 : x
  2. Step 2: Convert to fraction form
    4,408.76/6,613.74 = 2,071.16/x
  3. Step 3: Cross multiply
    4,408.76x = 6,613.74 × 2,071.16
  4. Step 4: Simplify right side
    4,408.76x = 13,698,113.74
  5. Step 5: Solve for x
    x = 13,698,113.74/4,408.76
  6. Step 6: Final answer
    x = 3,107.02

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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.