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Finding the Fourth Proportional to 5,176.61, 7,762.14 and 2,056.49

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Solution

The fourth proportional to 5,176.61, 7,762.14 and 2,056.49 is: 3,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.61 : 7,762.14 = 2,056.49 : x
  2. Step 2: Convert to fraction form
    5,176.61/7,762.14 = 2,056.49/x
  3. Step 3: Cross multiply
    5,176.61x = 7,762.14 × 2,056.49
  4. Step 4: Simplify right side
    5,176.61x = 15,962,724.48
  5. Step 5: Solve for x
    x = 15,962,724.48/5,176.61
  6. Step 6: Final answer
    x = 3,083.63

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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.