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Finding the Fourth Proportional to 3,762.03, 5,643.27 and 1,570.98

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Solution

The fourth proportional to 3,762.03, 5,643.27 and 1,570.98 is: 2,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.03 : 5,643.27 = 1,570.98 : x
  2. Step 2: Convert to fraction form
    3,762.03/5,643.27 = 1,570.98/x
  3. Step 3: Cross multiply
    3,762.03x = 5,643.27 × 1,570.98
  4. Step 4: Simplify right side
    3,762.03x = 8,865,464.30
  5. Step 5: Solve for x
    x = 8,865,464.30/3,762.03
  6. Step 6: Final answer
    x = 2,356.56

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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.