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Finding the Fourth Proportional to 8,590.44, 12,888.54 and 3,657.96

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Solution

The fourth proportional to 8,590.44, 12,888.54 and 3,657.96 is: 5,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.44 : 12,888.54 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    8,590.44/12,888.54 = 3,657.96/x
  3. Step 3: Cross multiply
    8,590.44x = 12,888.54 × 3,657.96
  4. Step 4: Simplify right side
    8,590.44x = 47,145,763.78
  5. Step 5: Solve for x
    x = 47,145,763.78/8,590.44
  6. Step 6: Final answer
    x = 5,488.17

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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.