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Finding the Fourth Proportional to 4,774.63, 7,164.82 and 2,038.63

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Solution

The fourth proportional to 4,774.63, 7,164.82 and 2,038.63 is: 3,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.63 : 7,164.82 = 2,038.63 : x
  2. Step 2: Convert to fraction form
    4,774.63/7,164.82 = 2,038.63/x
  3. Step 3: Cross multiply
    4,774.63x = 7,164.82 × 2,038.63
  4. Step 4: Simplify right side
    4,774.63x = 14,606,376.08
  5. Step 5: Solve for x
    x = 14,606,376.08/4,774.63
  6. Step 6: Final answer
    x = 3,059.17

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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.