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Finding the Fourth Proportional to 6,200.54, 8,549.52 and 4,625.90

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Solution

The fourth proportional to 6,200.54, 8,549.52 and 4,625.90 is: 6,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.54 : 8,549.52 = 4,625.90 : x
  2. Step 2: Convert to fraction form
    6,200.54/8,549.52 = 4,625.90/x
  3. Step 3: Cross multiply
    6,200.54x = 8,549.52 × 4,625.90
  4. Step 4: Simplify right side
    6,200.54x = 39,549,224.57
  5. Step 5: Solve for x
    x = 39,549,224.57/6,200.54
  6. Step 6: Final answer
    x = 6,378.35

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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.