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Finding the Fourth Proportional to 5,605, 8,406.42 and 1,907.20

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Solution

The fourth proportional to 5,605, 8,406.42 and 1,907.20 is: 2,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 8,406.42 = 1,907.20 : x
  2. Step 2: Convert to fraction form
    5,605/8,406.42 = 1,907.20/x
  3. Step 3: Cross multiply
    5,605x = 8,406.42 × 1,907.20
  4. Step 4: Simplify right side
    5,605x = 16,032,724.22
  5. Step 5: Solve for x
    x = 16,032,724.22/5,605
  6. Step 6: Final answer
    x = 2,860.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.