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Finding the Fourth Proportional to 2,590.12, 3,553.85 and 2,565.64

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Solution

The fourth proportional to 2,590.12, 3,553.85 and 2,565.64 is: 3,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.12 : 3,553.85 = 2,565.64 : x
  2. Step 2: Convert to fraction form
    2,590.12/3,553.85 = 2,565.64/x
  3. Step 3: Cross multiply
    2,590.12x = 3,553.85 × 2,565.64
  4. Step 4: Simplify right side
    2,590.12x = 9,117,899.71
  5. Step 5: Solve for x
    x = 9,117,899.71/2,590.12
  6. Step 6: Final answer
    x = 3,520.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.