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Finding the Fourth Proportional to 6,349.93, 9,526.53 and 3,719.65

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Solution

The fourth proportional to 6,349.93, 9,526.53 and 3,719.65 is: 5,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.93 : 9,526.53 = 3,719.65 : x
  2. Step 2: Convert to fraction form
    6,349.93/9,526.53 = 3,719.65/x
  3. Step 3: Cross multiply
    6,349.93x = 9,526.53 × 3,719.65
  4. Step 4: Simplify right side
    6,349.93x = 35,435,357.31
  5. Step 5: Solve for x
    x = 35,435,357.31/6,349.93
  6. Step 6: Final answer
    x = 5,580.43

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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.