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Finding the Fourth Proportional to 4,709.95, 6,499.74 and 2,614.08

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Solution

The fourth proportional to 4,709.95, 6,499.74 and 2,614.08 is: 3,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.95 : 6,499.74 = 2,614.08 : x
  2. Step 2: Convert to fraction form
    4,709.95/6,499.74 = 2,614.08/x
  3. Step 3: Cross multiply
    4,709.95x = 6,499.74 × 2,614.08
  4. Step 4: Simplify right side
    4,709.95x = 16,990,840.34
  5. Step 5: Solve for x
    x = 16,990,840.34/4,709.95
  6. Step 6: Final answer
    x = 3,607.44

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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.