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Finding the Fourth Proportional to 4,590.54, 6,327.68 and 4,209.17

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Solution

The fourth proportional to 4,590.54, 6,327.68 and 4,209.17 is: 5,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.54 : 6,327.68 = 4,209.17 : x
  2. Step 2: Convert to fraction form
    4,590.54/6,327.68 = 4,209.17/x
  3. Step 3: Cross multiply
    4,590.54x = 6,327.68 × 4,209.17
  4. Step 4: Simplify right side
    4,590.54x = 26,634,228.14
  5. Step 5: Solve for x
    x = 26,634,228.14/4,590.54
  6. Step 6: Final answer
    x = 5,801.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.