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Finding the Fourth Proportional to 6,580.09, 9,079.64 and 4,225.42

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Solution

The fourth proportional to 6,580.09, 9,079.64 and 4,225.42 is: 5,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.09 : 9,079.64 = 4,225.42 : x
  2. Step 2: Convert to fraction form
    6,580.09/9,079.64 = 4,225.42/x
  3. Step 3: Cross multiply
    6,580.09x = 9,079.64 × 4,225.42
  4. Step 4: Simplify right side
    6,580.09x = 38,365,247.05
  5. Step 5: Solve for x
    x = 38,365,247.05/6,580.09
  6. Step 6: Final answer
    x = 5,830.51

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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.