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Finding the Fourth Proportional to 5,756.32, 8,629.02 and 3,670.47

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Solution

The fourth proportional to 5,756.32, 8,629.02 and 3,670.47 is: 5,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.32 : 8,629.02 = 3,670.47 : x
  2. Step 2: Convert to fraction form
    5,756.32/8,629.02 = 3,670.47/x
  3. Step 3: Cross multiply
    5,756.32x = 8,629.02 × 3,670.47
  4. Step 4: Simplify right side
    5,756.32x = 31,672,559.04
  5. Step 5: Solve for x
    x = 31,672,559.04/5,756.32
  6. Step 6: Final answer
    x = 5,502.22

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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.