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Finding the Fourth Proportional to 4,763.76, 6,573.84 and 2,774.40

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Solution

The fourth proportional to 4,763.76, 6,573.84 and 2,774.40 is: 3,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.76 : 6,573.84 = 2,774.40 : x
  2. Step 2: Convert to fraction form
    4,763.76/6,573.84 = 2,774.40/x
  3. Step 3: Cross multiply
    4,763.76x = 6,573.84 × 2,774.40
  4. Step 4: Simplify right side
    4,763.76x = 18,238,461.70
  5. Step 5: Solve for x
    x = 18,238,461.70/4,763.76
  6. Step 6: Final answer
    x = 3,828.59

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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.