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Finding the Fourth Proportional to 4,768.47, 6,580.50 and 2,780.40

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Solution

The fourth proportional to 4,768.47, 6,580.50 and 2,780.40 is: 3,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.47 : 6,580.50 = 2,780.40 : x
  2. Step 2: Convert to fraction form
    4,768.47/6,580.50 = 2,780.40/x
  3. Step 3: Cross multiply
    4,768.47x = 6,580.50 × 2,780.40
  4. Step 4: Simplify right side
    4,768.47x = 18,296,422.20
  5. Step 5: Solve for x
    x = 18,296,422.20/4,768.47
  6. Step 6: Final answer
    x = 3,836.96

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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.