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Finding the Fourth Proportional to 5,775.66, 8,009.93 and 5,414.81

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Solution

The fourth proportional to 5,775.66, 8,009.93 and 5,414.81 is: 7,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.66 : 8,009.93 = 5,414.81 : x
  2. Step 2: Convert to fraction form
    5,775.66/8,009.93 = 5,414.81/x
  3. Step 3: Cross multiply
    5,775.66x = 8,009.93 × 5,414.81
  4. Step 4: Simplify right side
    5,775.66x = 43,372,222.55
  5. Step 5: Solve for x
    x = 43,372,222.55/5,775.66
  6. Step 6: Final answer
    x = 7,509.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.