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Finding the Fourth Proportional to 5,192.86, 7,790.52 and 1,495

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Solution

The fourth proportional to 5,192.86, 7,790.52 and 1,495 is: 2,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.86 : 7,790.52 = 1,495 : x
  2. Step 2: Convert to fraction form
    5,192.86/7,790.52 = 1,495/x
  3. Step 3: Cross multiply
    5,192.86x = 7,790.52 × 1,495
  4. Step 4: Simplify right side
    5,192.86x = 11,646,827.40
  5. Step 5: Solve for x
    x = 11,646,827.40/5,192.86
  6. Step 6: Final answer
    x = 2,242.85

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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.