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Finding the Fourth Proportional to 6,379.50, 8,803.76 and 3,585

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Solution

The fourth proportional to 6,379.50, 8,803.76 and 3,585 is: 4,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.50 : 8,803.76 = 3,585 : x
  2. Step 2: Convert to fraction form
    6,379.50/8,803.76 = 3,585/x
  3. Step 3: Cross multiply
    6,379.50x = 8,803.76 × 3,585
  4. Step 4: Simplify right side
    6,379.50x = 31,561,461.68
  5. Step 5: Solve for x
    x = 31,561,461.68/6,379.50
  6. Step 6: Final answer
    x = 4,947.33

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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.