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Finding the Fourth Proportional to 5,567.19, 7,690.22 and 4,456.07

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Solution

The fourth proportional to 5,567.19, 7,690.22 and 4,456.07 is: 6,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.19 : 7,690.22 = 4,456.07 : x
  2. Step 2: Convert to fraction form
    5,567.19/7,690.22 = 4,456.07/x
  3. Step 3: Cross multiply
    5,567.19x = 7,690.22 × 4,456.07
  4. Step 4: Simplify right side
    5,567.19x = 34,268,158.64
  5. Step 5: Solve for x
    x = 34,268,158.64/5,567.19
  6. Step 6: Final answer
    x = 6,155.38

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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.