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Finding the Fourth Proportional to 2,590.56, 3,886.66 and 2,435.86

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Solution

The fourth proportional to 2,590.56, 3,886.66 and 2,435.86 is: 3,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.56 : 3,886.66 = 2,435.86 : x
  2. Step 2: Convert to fraction form
    2,590.56/3,886.66 = 2,435.86/x
  3. Step 3: Cross multiply
    2,590.56x = 3,886.66 × 2,435.86
  4. Step 4: Simplify right side
    2,590.56x = 9,467,359.63
  5. Step 5: Solve for x
    x = 9,467,359.63/2,590.56
  6. Step 6: Final answer
    x = 3,654.56

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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.