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Finding the Fourth Proportional to 5,052.78, 6,978.24 and 4,503.06

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Solution

The fourth proportional to 5,052.78, 6,978.24 and 4,503.06 is: 6,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.78 : 6,978.24 = 4,503.06 : x
  2. Step 2: Convert to fraction form
    5,052.78/6,978.24 = 4,503.06/x
  3. Step 3: Cross multiply
    5,052.78x = 6,978.24 × 4,503.06
  4. Step 4: Simplify right side
    5,052.78x = 31,423,433.41
  5. Step 5: Solve for x
    x = 31,423,433.41/5,052.78
  6. Step 6: Final answer
    x = 6,219.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.