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Finding the Fourth Proportional to 5,824.59, 8,769.71 and 5,135.68

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Solution

The fourth proportional to 5,824.59, 8,769.71 and 5,135.68 is: 7,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.59 : 8,769.71 = 5,135.68 : x
  2. Step 2: Convert to fraction form
    5,824.59/8,769.71 = 5,135.68/x
  3. Step 3: Cross multiply
    5,824.59x = 8,769.71 × 5,135.68
  4. Step 4: Simplify right side
    5,824.59x = 45,038,424.25
  5. Step 5: Solve for x
    x = 45,038,424.25/5,824.59
  6. Step 6: Final answer
    x = 7,732.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.