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Finding the Fourth Proportional to 4,810.38, 7,201.53 and 4,349.22

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Solution

The fourth proportional to 4,810.38, 7,201.53 and 4,349.22 is: 6,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.38 : 7,201.53 = 4,349.22 : x
  2. Step 2: Convert to fraction form
    4,810.38/7,201.53 = 4,349.22/x
  3. Step 3: Cross multiply
    4,810.38x = 7,201.53 × 4,349.22
  4. Step 4: Simplify right side
    4,810.38x = 31,321,038.31
  5. Step 5: Solve for x
    x = 31,321,038.31/4,810.38
  6. Step 6: Final answer
    x = 6,511.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.