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Finding the Fourth Proportional to 6,307.34, 8,707.63 and 3,790.07

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Solution

The fourth proportional to 6,307.34, 8,707.63 and 3,790.07 is: 5,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.34 : 8,707.63 = 3,790.07 : x
  2. Step 2: Convert to fraction form
    6,307.34/8,707.63 = 3,790.07/x
  3. Step 3: Cross multiply
    6,307.34x = 8,707.63 × 3,790.07
  4. Step 4: Simplify right side
    6,307.34x = 33,002,474.22
  5. Step 5: Solve for x
    x = 33,002,474.22/6,307.34
  6. Step 6: Final answer
    x = 5,232.39

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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.