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Finding the Fourth Proportional to 4,590.24, 6,913.68 and 4,190.72

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Solution

The fourth proportional to 4,590.24, 6,913.68 and 4,190.72 is: 6,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.24 : 6,913.68 = 4,190.72 : x
  2. Step 2: Convert to fraction form
    4,590.24/6,913.68 = 4,190.72/x
  3. Step 3: Cross multiply
    4,590.24x = 6,913.68 × 4,190.72
  4. Step 4: Simplify right side
    4,590.24x = 28,973,297.05
  5. Step 5: Solve for x
    x = 28,973,297.05/4,590.24
  6. Step 6: Final answer
    x = 6,311.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.