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Finding the Fourth Proportional to 5,215.67, 7,823.41 and 1,752.92

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Solution

The fourth proportional to 5,215.67, 7,823.41 and 1,752.92 is: 2,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.67 : 7,823.41 = 1,752.92 : x
  2. Step 2: Convert to fraction form
    5,215.67/7,823.41 = 1,752.92/x
  3. Step 3: Cross multiply
    5,215.67x = 7,823.41 × 1,752.92
  4. Step 4: Simplify right side
    5,215.67x = 13,713,811.86
  5. Step 5: Solve for x
    x = 13,713,811.86/5,215.67
  6. Step 6: Final answer
    x = 2,629.35

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1.5x scale

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.