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Finding the Fourth Proportional to 6,590.07, 9,094.11 and 3,605.84

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Solution

The fourth proportional to 6,590.07, 9,094.11 and 3,605.84 is: 4,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.07 : 9,094.11 = 3,605.84 : x
  2. Step 2: Convert to fraction form
    6,590.07/9,094.11 = 3,605.84/x
  3. Step 3: Cross multiply
    6,590.07x = 9,094.11 × 3,605.84
  4. Step 4: Simplify right side
    6,590.07x = 32,791,905.60
  5. Step 5: Solve for x
    x = 32,791,905.60/6,590.07
  6. Step 6: Final answer
    x = 4,975.96

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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.