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Finding the Fourth Proportional to 4,771.03, 6,580.69 and 4,610.47

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Solution

The fourth proportional to 4,771.03, 6,580.69 and 4,610.47 is: 6,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.03 : 6,580.69 = 4,610.47 : x
  2. Step 2: Convert to fraction form
    4,771.03/6,580.69 = 4,610.47/x
  3. Step 3: Cross multiply
    4,771.03x = 6,580.69 × 4,610.47
  4. Step 4: Simplify right side
    4,771.03x = 30,340,073.82
  5. Step 5: Solve for x
    x = 30,340,073.82/4,771.03
  6. Step 6: Final answer
    x = 6,359.23

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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.