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Finding the Fourth Proportional to 5,377.74, 8,066.64 and 2,454

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Solution

The fourth proportional to 5,377.74, 8,066.64 and 2,454 is: 3,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.74 : 8,066.64 = 2,454 : x
  2. Step 2: Convert to fraction form
    5,377.74/8,066.64 = 2,454/x
  3. Step 3: Cross multiply
    5,377.74x = 8,066.64 × 2,454
  4. Step 4: Simplify right side
    5,377.74x = 19,795,534.56
  5. Step 5: Solve for x
    x = 19,795,534.56/5,377.74
  6. Step 6: Final answer
    x = 3,681.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.