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Finding the Fourth Proportional to 6,485.29, 8,946.16 and 5,644.51

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Solution

The fourth proportional to 6,485.29, 8,946.16 and 5,644.51 is: 7,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.29 : 8,946.16 = 5,644.51 : x
  2. Step 2: Convert to fraction form
    6,485.29/8,946.16 = 5,644.51/x
  3. Step 3: Cross multiply
    6,485.29x = 8,946.16 × 5,644.51
  4. Step 4: Simplify right side
    6,485.29x = 50,496,689.58
  5. Step 5: Solve for x
    x = 50,496,689.58/6,485.29
  6. Step 6: Final answer
    x = 7,786.34

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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.