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Finding the Fourth Proportional to 4,647.48, 6,371.94 and 4,564.32

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Solution

The fourth proportional to 4,647.48, 6,371.94 and 4,564.32 is: 6,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.48 : 6,371.94 = 4,564.32 : x
  2. Step 2: Convert to fraction form
    4,647.48/6,371.94 = 4,564.32/x
  3. Step 3: Cross multiply
    4,647.48x = 6,371.94 × 4,564.32
  4. Step 4: Simplify right side
    4,647.48x = 29,083,573.18
  5. Step 5: Solve for x
    x = 29,083,573.18/4,647.48
  6. Step 6: Final answer
    x = 6,257.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.