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Finding the Fourth Proportional to 4,978.55, 7,467.82 and 2,056.93

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Solution

The fourth proportional to 4,978.55, 7,467.82 and 2,056.93 is: 3,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.55 : 7,467.82 = 2,056.93 : x
  2. Step 2: Convert to fraction form
    4,978.55/7,467.82 = 2,056.93/x
  3. Step 3: Cross multiply
    4,978.55x = 7,467.82 × 2,056.93
  4. Step 4: Simplify right side
    4,978.55x = 15,360,764.97
  5. Step 5: Solve for x
    x = 15,360,764.97/4,978.55
  6. Step 6: Final answer
    x = 3,085.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.