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Finding the Fourth Proportional to 5,875.74, 8,797.82 and 3,096.63

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Solution

The fourth proportional to 5,875.74, 8,797.82 and 3,096.63 is: 4,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.74 : 8,797.82 = 3,096.63 : x
  2. Step 2: Convert to fraction form
    5,875.74/8,797.82 = 3,096.63/x
  3. Step 3: Cross multiply
    5,875.74x = 8,797.82 × 3,096.63
  4. Step 4: Simplify right side
    5,875.74x = 27,243,577.86
  5. Step 5: Solve for x
    x = 27,243,577.86/5,875.74
  6. Step 6: Final answer
    x = 4,636.62

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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.