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Finding the Fourth Proportional to 6,491.84, 8,957.40 and 4,133.12

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Solution

The fourth proportional to 6,491.84, 8,957.40 and 4,133.12 is: 5,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.84 : 8,957.40 = 4,133.12 : x
  2. Step 2: Convert to fraction form
    6,491.84/8,957.40 = 4,133.12/x
  3. Step 3: Cross multiply
    6,491.84x = 8,957.40 × 4,133.12
  4. Step 4: Simplify right side
    6,491.84x = 37,022,009.09
  5. Step 5: Solve for x
    x = 37,022,009.09/6,491.84
  6. Step 6: Final answer
    x = 5,702.85

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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.