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Finding the Fourth Proportional to 5,733.86, 7,903.58 and 4,315.41

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Solution

The fourth proportional to 5,733.86, 7,903.58 and 4,315.41 is: 5,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.86 : 7,903.58 = 4,315.41 : x
  2. Step 2: Convert to fraction form
    5,733.86/7,903.58 = 4,315.41/x
  3. Step 3: Cross multiply
    5,733.86x = 7,903.58 × 4,315.41
  4. Step 4: Simplify right side
    5,733.86x = 34,107,166.59
  5. Step 5: Solve for x
    x = 34,107,166.59/5,733.86
  6. Step 6: Final answer
    x = 5,948.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.