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Finding the Fourth Proportional to 6,302.26, 8,695.51 and 4,206.79

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Solution

The fourth proportional to 6,302.26, 8,695.51 and 4,206.79 is: 5,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.26 : 8,695.51 = 4,206.79 : x
  2. Step 2: Convert to fraction form
    6,302.26/8,695.51 = 4,206.79/x
  3. Step 3: Cross multiply
    6,302.26x = 8,695.51 × 4,206.79
  4. Step 4: Simplify right side
    6,302.26x = 36,580,184.51
  5. Step 5: Solve for x
    x = 36,580,184.51/6,302.26
  6. Step 6: Final answer
    x = 5,804.30

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