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Finding the Fourth Proportional to 5,458.86, 7,525.60 and 4,616.19

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Solution

The fourth proportional to 5,458.86, 7,525.60 and 4,616.19 is: 6,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.86 : 7,525.60 = 4,616.19 : x
  2. Step 2: Convert to fraction form
    5,458.86/7,525.60 = 4,616.19/x
  3. Step 3: Cross multiply
    5,458.86x = 7,525.60 × 4,616.19
  4. Step 4: Simplify right side
    5,458.86x = 34,739,573.38
  5. Step 5: Solve for x
    x = 34,739,573.38/5,458.86
  6. Step 6: Final answer
    x = 6,363.89

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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.