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Finding the Fourth Proportional to 5,567.54, 7,665.72 and 4,726.50

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Solution

The fourth proportional to 5,567.54, 7,665.72 and 4,726.50 is: 6,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.54 : 7,665.72 = 4,726.50 : x
  2. Step 2: Convert to fraction form
    5,567.54/7,665.72 = 4,726.50/x
  3. Step 3: Cross multiply
    5,567.54x = 7,665.72 × 4,726.50
  4. Step 4: Simplify right side
    5,567.54x = 36,232,025.58
  5. Step 5: Solve for x
    x = 36,232,025.58/5,567.54
  6. Step 6: Final answer
    x = 6,507.73

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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.