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Finding the Fourth Proportional to 5,407.94, 8,102.19 and 2,802.98

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Solution

The fourth proportional to 5,407.94, 8,102.19 and 2,802.98 is: 4,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 8,102.19 = 2,802.98 : x
  2. Step 2: Convert to fraction form
    5,407.94/8,102.19 = 2,802.98/x
  3. Step 3: Cross multiply
    5,407.94x = 8,102.19 × 2,802.98
  4. Step 4: Simplify right side
    5,407.94x = 22,710,276.53
  5. Step 5: Solve for x
    x = 22,710,276.53/5,407.94
  6. Step 6: Final answer
    x = 4,199.43

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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.