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Finding the Fourth Proportional to 6,460.52, 8,916.19 and 3,628.15

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Solution

The fourth proportional to 6,460.52, 8,916.19 and 3,628.15 is: 5,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.52 : 8,916.19 = 3,628.15 : x
  2. Step 2: Convert to fraction form
    6,460.52/8,916.19 = 3,628.15/x
  3. Step 3: Cross multiply
    6,460.52x = 8,916.19 × 3,628.15
  4. Step 4: Simplify right side
    6,460.52x = 32,349,243.39
  5. Step 5: Solve for x
    x = 32,349,243.39/6,460.52
  6. Step 6: Final answer
    x = 5,007.22

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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.