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Finding the Fourth Proportional to 6,417.50, 8,856.30 and 3,623

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Solution

The fourth proportional to 6,417.50, 8,856.30 and 3,623 is: 4,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.50 : 8,856.30 = 3,623 : x
  2. Step 2: Convert to fraction form
    6,417.50/8,856.30 = 3,623/x
  3. Step 3: Cross multiply
    6,417.50x = 8,856.30 × 3,623
  4. Step 4: Simplify right side
    6,417.50x = 32,086,374.90
  5. Step 5: Solve for x
    x = 32,086,374.90/6,417.50
  6. Step 6: Final answer
    x = 4,999.82

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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.