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Finding the Fourth Proportional to 6,407.29, 8,828.94 and 4,726.04

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Solution

The fourth proportional to 6,407.29, 8,828.94 and 4,726.04 is: 6,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.29 : 8,828.94 = 4,726.04 : x
  2. Step 2: Convert to fraction form
    6,407.29/8,828.94 = 4,726.04/x
  3. Step 3: Cross multiply
    6,407.29x = 8,828.94 × 4,726.04
  4. Step 4: Simplify right side
    6,407.29x = 41,725,879.45
  5. Step 5: Solve for x
    x = 41,725,879.45/6,407.29
  6. Step 6: Final answer
    x = 6,512.25

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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.