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Finding the Fourth Proportional to 6,409.71, 8,844.93 and 3,537.86

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Solution

The fourth proportional to 6,409.71, 8,844.93 and 3,537.86 is: 4,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.71 : 8,844.93 = 3,537.86 : x
  2. Step 2: Convert to fraction form
    6,409.71/8,844.93 = 3,537.86/x
  3. Step 3: Cross multiply
    6,409.71x = 8,844.93 × 3,537.86
  4. Step 4: Simplify right side
    6,409.71x = 31,292,079.83
  5. Step 5: Solve for x
    x = 31,292,079.83/6,409.71
  6. Step 6: Final answer
    x = 4,881.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.