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Finding the Fourth Proportional to 4,290.64, 6,430.82 and 2,211.64

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Solution

The fourth proportional to 4,290.64, 6,430.82 and 2,211.64 is: 3,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.64 : 6,430.82 = 2,211.64 : x
  2. Step 2: Convert to fraction form
    4,290.64/6,430.82 = 2,211.64/x
  3. Step 3: Cross multiply
    4,290.64x = 6,430.82 × 2,211.64
  4. Step 4: Simplify right side
    4,290.64x = 14,222,658.74
  5. Step 5: Solve for x
    x = 14,222,658.74/4,290.64
  6. Step 6: Final answer
    x = 3,314.81

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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.