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Finding the Fourth Proportional to 5,264.08, 7,857.53 and 4,641.32

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Solution

The fourth proportional to 5,264.08, 7,857.53 and 4,641.32 is: 6,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.08 : 7,857.53 = 4,641.32 : x
  2. Step 2: Convert to fraction form
    5,264.08/7,857.53 = 4,641.32/x
  3. Step 3: Cross multiply
    5,264.08x = 7,857.53 × 4,641.32
  4. Step 4: Simplify right side
    5,264.08x = 36,469,311.14
  5. Step 5: Solve for x
    x = 36,469,311.14/5,264.08
  6. Step 6: Final answer
    x = 6,927.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.