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Finding the Fourth Proportional to 5,766.94, 7,955.36 and 3,641.70

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Solution

The fourth proportional to 5,766.94, 7,955.36 and 3,641.70 is: 5,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.94 : 7,955.36 = 3,641.70 : x
  2. Step 2: Convert to fraction form
    5,766.94/7,955.36 = 3,641.70/x
  3. Step 3: Cross multiply
    5,766.94x = 7,955.36 × 3,641.70
  4. Step 4: Simplify right side
    5,766.94x = 28,971,034.51
  5. Step 5: Solve for x
    x = 28,971,034.51/5,766.94
  6. Step 6: Final answer
    x = 5,023.64

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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.