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Finding the Fourth Proportional to 5,682.80, 8,478.55 and 5,059.10

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Solution

The fourth proportional to 5,682.80, 8,478.55 and 5,059.10 is: 7,548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.80 : 8,478.55 = 5,059.10 : x
  2. Step 2: Convert to fraction form
    5,682.80/8,478.55 = 5,059.10/x
  3. Step 3: Cross multiply
    5,682.80x = 8,478.55 × 5,059.10
  4. Step 4: Simplify right side
    5,682.80x = 42,893,832.31
  5. Step 5: Solve for x
    x = 42,893,832.31/5,682.80
  6. Step 6: Final answer
    x = 7,548.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.