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Finding the Fourth Proportional to 5,178.61, 7,762.78 and 2,056.78

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Solution

The fourth proportional to 5,178.61, 7,762.78 and 2,056.78 is: 3,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.61 : 7,762.78 = 2,056.78 : x
  2. Step 2: Convert to fraction form
    5,178.61/7,762.78 = 2,056.78/x
  3. Step 3: Cross multiply
    5,178.61x = 7,762.78 × 2,056.78
  4. Step 4: Simplify right side
    5,178.61x = 15,966,330.65
  5. Step 5: Solve for x
    x = 15,966,330.65/5,178.61
  6. Step 6: Final answer
    x = 3,083.13

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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.