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Finding the Fourth Proportional to 5,980.77, 8,254.71 and 4,096.17

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Solution

The fourth proportional to 5,980.77, 8,254.71 and 4,096.17 is: 5,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.77 : 8,254.71 = 4,096.17 : x
  2. Step 2: Convert to fraction form
    5,980.77/8,254.71 = 4,096.17/x
  3. Step 3: Cross multiply
    5,980.77x = 8,254.71 × 4,096.17
  4. Step 4: Simplify right side
    5,980.77x = 33,812,695.46
  5. Step 5: Solve for x
    x = 33,812,695.46/5,980.77
  6. Step 6: Final answer
    x = 5,653.57

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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.