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Finding the Fourth Proportional to 6,310.08, 8,709.56 and 3,657.16

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Solution

The fourth proportional to 6,310.08, 8,709.56 and 3,657.16 is: 5,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.08 : 8,709.56 = 3,657.16 : x
  2. Step 2: Convert to fraction form
    6,310.08/8,709.56 = 3,657.16/x
  3. Step 3: Cross multiply
    6,310.08x = 8,709.56 × 3,657.16
  4. Step 4: Simplify right side
    6,310.08x = 31,852,254.45
  5. Step 5: Solve for x
    x = 31,852,254.45/6,310.08
  6. Step 6: Final answer
    x = 5,047.84

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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.