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Finding the Fourth Proportional to 6,444.17, 8,890.29 and 4,205.24

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Solution

The fourth proportional to 6,444.17, 8,890.29 and 4,205.24 is: 5,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.17 : 8,890.29 = 4,205.24 : x
  2. Step 2: Convert to fraction form
    6,444.17/8,890.29 = 4,205.24/x
  3. Step 3: Cross multiply
    6,444.17x = 8,890.29 × 4,205.24
  4. Step 4: Simplify right side
    6,444.17x = 37,385,758.67
  5. Step 5: Solve for x
    x = 37,385,758.67/6,444.17
  6. Step 6: Final answer
    x = 5,801.49

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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.