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Finding the Fourth Proportional to 6,339.48, 8,746.35 and 4,104.18

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Solution

The fourth proportional to 6,339.48, 8,746.35 and 4,104.18 is: 5,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.48 : 8,746.35 = 4,104.18 : x
  2. Step 2: Convert to fraction form
    6,339.48/8,746.35 = 4,104.18/x
  3. Step 3: Cross multiply
    6,339.48x = 8,746.35 × 4,104.18
  4. Step 4: Simplify right side
    6,339.48x = 35,896,594.74
  5. Step 5: Solve for x
    x = 35,896,594.74/6,339.48
  6. Step 6: Final answer
    x = 5,662.39

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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.