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Finding the Fourth Proportional to 6,590.89, 9,097.55 and 4,354.75

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Solution

The fourth proportional to 6,590.89, 9,097.55 and 4,354.75 is: 6,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.89 : 9,097.55 = 4,354.75 : x
  2. Step 2: Convert to fraction form
    6,590.89/9,097.55 = 4,354.75/x
  3. Step 3: Cross multiply
    6,590.89x = 9,097.55 × 4,354.75
  4. Step 4: Simplify right side
    6,590.89x = 39,617,555.86
  5. Step 5: Solve for x
    x = 39,617,555.86/6,590.89
  6. Step 6: Final answer
    x = 6,010.96

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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.