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Finding the Fourth Proportional to 6,544.78, 9,807.62 and 3,035.86

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Solution

The fourth proportional to 6,544.78, 9,807.62 and 3,035.86 is: 4,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.78 : 9,807.62 = 3,035.86 : x
  2. Step 2: Convert to fraction form
    6,544.78/9,807.62 = 3,035.86/x
  3. Step 3: Cross multiply
    6,544.78x = 9,807.62 × 3,035.86
  4. Step 4: Simplify right side
    6,544.78x = 29,774,561.25
  5. Step 5: Solve for x
    x = 29,774,561.25/6,544.78
  6. Step 6: Final answer
    x = 4,549.36

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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.