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Finding the Fourth Proportional to 5,095.55, 7,645.86 and 1,977.71

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Solution

The fourth proportional to 5,095.55, 7,645.86 and 1,977.71 is: 2,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.55 : 7,645.86 = 1,977.71 : x
  2. Step 2: Convert to fraction form
    5,095.55/7,645.86 = 1,977.71/x
  3. Step 3: Cross multiply
    5,095.55x = 7,645.86 × 1,977.71
  4. Step 4: Simplify right side
    5,095.55x = 15,121,255.55
  5. Step 5: Solve for x
    x = 15,121,255.55/5,095.55
  6. Step 6: Final answer
    x = 2,967.54

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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.