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Finding the Fourth Proportional to 3,910.77, 5,866.52 and 1,570.95

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Solution

The fourth proportional to 3,910.77, 5,866.52 and 1,570.95 is: 2,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.77 : 5,866.52 = 1,570.95 : x
  2. Step 2: Convert to fraction form
    3,910.77/5,866.52 = 1,570.95/x
  3. Step 3: Cross multiply
    3,910.77x = 5,866.52 × 1,570.95
  4. Step 4: Simplify right side
    3,910.77x = 9,216,001.74
  5. Step 5: Solve for x
    x = 9,216,001.74/3,910.77
  6. Step 6: Final answer
    x = 2,356.57

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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.