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Finding the Fourth Proportional to 4,210.58, 6,317 and 1,288.82

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Solution

The fourth proportional to 4,210.58, 6,317 and 1,288.82 is: 1,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.58 : 6,317 = 1,288.82 : x
  2. Step 2: Convert to fraction form
    4,210.58/6,317 = 1,288.82/x
  3. Step 3: Cross multiply
    4,210.58x = 6,317 × 1,288.82
  4. Step 4: Simplify right side
    4,210.58x = 8,141,475.94
  5. Step 5: Solve for x
    x = 8,141,475.94/4,210.58
  6. Step 6: Final answer
    x = 1,933.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.