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Finding the Fourth Proportional to 4,866.56, 6,721.44 and 3,546.16

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Solution

The fourth proportional to 4,866.56, 6,721.44 and 3,546.16 is: 4,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.56 : 6,721.44 = 3,546.16 : x
  2. Step 2: Convert to fraction form
    4,866.56/6,721.44 = 3,546.16/x
  3. Step 3: Cross multiply
    4,866.56x = 6,721.44 × 3,546.16
  4. Step 4: Simplify right side
    4,866.56x = 23,835,301.67
  5. Step 5: Solve for x
    x = 23,835,301.67/4,866.56
  6. Step 6: Final answer
    x = 4,897.77

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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.