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Finding the Fourth Proportional to 4,590.20, 6,888 and 1,817.14

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Solution

The fourth proportional to 4,590.20, 6,888 and 1,817.14 is: 2,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.20 : 6,888 = 1,817.14 : x
  2. Step 2: Convert to fraction form
    4,590.20/6,888 = 1,817.14/x
  3. Step 3: Cross multiply
    4,590.20x = 6,888 × 1,817.14
  4. Step 4: Simplify right side
    4,590.20x = 12,516,460.32
  5. Step 5: Solve for x
    x = 12,516,460.32/4,590.20
  6. Step 6: Final answer
    x = 2,726.78

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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.