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Finding the Fourth Proportional to 5,567.78, 8,315.02 and 4,747.52

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Solution

The fourth proportional to 5,567.78, 8,315.02 and 4,747.52 is: 7,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.78 : 8,315.02 = 4,747.52 : x
  2. Step 2: Convert to fraction form
    5,567.78/8,315.02 = 4,747.52/x
  3. Step 3: Cross multiply
    5,567.78x = 8,315.02 × 4,747.52
  4. Step 4: Simplify right side
    5,567.78x = 39,475,723.75
  5. Step 5: Solve for x
    x = 39,475,723.75/5,567.78
  6. Step 6: Final answer
    x = 7,090.03

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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.