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Finding the Fourth Proportional to 5,930.10, 8,895.15 and 4,958.10

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Solution

The fourth proportional to 5,930.10, 8,895.15 and 4,958.10 is: 7,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.10 : 8,895.15 = 4,958.10 : x
  2. Step 2: Convert to fraction form
    5,930.10/8,895.15 = 4,958.10/x
  3. Step 3: Cross multiply
    5,930.10x = 8,895.15 × 4,958.10
  4. Step 4: Simplify right side
    5,930.10x = 44,103,043.22
  5. Step 5: Solve for x
    x = 44,103,043.22/5,930.10
  6. Step 6: Final answer
    x = 7,437.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.