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Finding the Fourth Proportional to 6,455.68, 8,909.24 and 3,802.48

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Solution

The fourth proportional to 6,455.68, 8,909.24 and 3,802.48 is: 5,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.68 : 8,909.24 = 3,802.48 : x
  2. Step 2: Convert to fraction form
    6,455.68/8,909.24 = 3,802.48/x
  3. Step 3: Cross multiply
    6,455.68x = 8,909.24 × 3,802.48
  4. Step 4: Simplify right side
    6,455.68x = 33,877,206.92
  5. Step 5: Solve for x
    x = 33,877,206.92/6,455.68
  6. Step 6: Final answer
    x = 5,247.66

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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.