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Finding the Fourth Proportional to 4,690.38, 6,445.64 and 4,473.55

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Solution

The fourth proportional to 4,690.38, 6,445.64 and 4,473.55 is: 6,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.38 : 6,445.64 = 4,473.55 : x
  2. Step 2: Convert to fraction form
    4,690.38/6,445.64 = 4,473.55/x
  3. Step 3: Cross multiply
    4,690.38x = 6,445.64 × 4,473.55
  4. Step 4: Simplify right side
    4,690.38x = 28,834,892.82
  5. Step 5: Solve for x
    x = 28,834,892.82/4,690.38
  6. Step 6: Final answer
    x = 6,147.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.