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Finding the Fourth Proportional to 4,907.20, 7,356.44 and 1,786.48

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Solution

The fourth proportional to 4,907.20, 7,356.44 and 1,786.48 is: 2,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.20 : 7,356.44 = 1,786.48 : x
  2. Step 2: Convert to fraction form
    4,907.20/7,356.44 = 1,786.48/x
  3. Step 3: Cross multiply
    4,907.20x = 7,356.44 × 1,786.48
  4. Step 4: Simplify right side
    4,907.20x = 13,142,132.93
  5. Step 5: Solve for x
    x = 13,142,132.93/4,907.20
  6. Step 6: Final answer
    x = 2,678.13

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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.