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Finding the Fourth Proportional to 6,488.24, 8,955.40 and 3,695.36

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Solution

The fourth proportional to 6,488.24, 8,955.40 and 3,695.36 is: 5,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.24 : 8,955.40 = 3,695.36 : x
  2. Step 2: Convert to fraction form
    6,488.24/8,955.40 = 3,695.36/x
  3. Step 3: Cross multiply
    6,488.24x = 8,955.40 × 3,695.36
  4. Step 4: Simplify right side
    6,488.24x = 33,093,426.94
  5. Step 5: Solve for x
    x = 33,093,426.94/6,488.24
  6. Step 6: Final answer
    x = 5,100.52

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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.