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Finding the Fourth Proportional to 5,314.96, 7,967.44 and 1,802.52

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Solution

The fourth proportional to 5,314.96, 7,967.44 and 1,802.52 is: 2,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.96 : 7,967.44 = 1,802.52 : x
  2. Step 2: Convert to fraction form
    5,314.96/7,967.44 = 1,802.52/x
  3. Step 3: Cross multiply
    5,314.96x = 7,967.44 × 1,802.52
  4. Step 4: Simplify right side
    5,314.96x = 14,361,469.95
  5. Step 5: Solve for x
    x = 14,361,469.95/5,314.96
  6. Step 6: Final answer
    x = 2,702.08

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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.