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Finding the Fourth Proportional to 5,827.22, 8,735.05 and 2,315.17

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Solution

The fourth proportional to 5,827.22, 8,735.05 and 2,315.17 is: 3,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.22 : 8,735.05 = 2,315.17 : x
  2. Step 2: Convert to fraction form
    5,827.22/8,735.05 = 2,315.17/x
  3. Step 3: Cross multiply
    5,827.22x = 8,735.05 × 2,315.17
  4. Step 4: Simplify right side
    5,827.22x = 20,223,125.71
  5. Step 5: Solve for x
    x = 20,223,125.71/5,827.22
  6. Step 6: Final answer
    x = 3,470.46

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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.