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Finding the Fourth Proportional to 5,067.48, 7,602.76 and 1,780.60

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Solution

The fourth proportional to 5,067.48, 7,602.76 and 1,780.60 is: 2,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.48 : 7,602.76 = 1,780.60 : x
  2. Step 2: Convert to fraction form
    5,067.48/7,602.76 = 1,780.60/x
  3. Step 3: Cross multiply
    5,067.48x = 7,602.76 × 1,780.60
  4. Step 4: Simplify right side
    5,067.48x = 13,537,474.46
  5. Step 5: Solve for x
    x = 13,537,474.46/5,067.48
  6. Step 6: Final answer
    x = 2,671.44

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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.