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Finding the Fourth Proportional to 6,223.60, 8,588.28 and 3,802.15

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Solution

The fourth proportional to 6,223.60, 8,588.28 and 3,802.15 is: 5,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.60 : 8,588.28 = 3,802.15 : x
  2. Step 2: Convert to fraction form
    6,223.60/8,588.28 = 3,802.15/x
  3. Step 3: Cross multiply
    6,223.60x = 8,588.28 × 3,802.15
  4. Step 4: Simplify right side
    6,223.60x = 32,653,928.80
  5. Step 5: Solve for x
    x = 32,653,928.80/6,223.60
  6. Step 6: Final answer
    x = 5,246.79

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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.