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Finding the Fourth Proportional to 3,356.51, 5,035.77 and 1,603.74

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Solution

The fourth proportional to 3,356.51, 5,035.77 and 1,603.74 is: 2,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.51 : 5,035.77 = 1,603.74 : x
  2. Step 2: Convert to fraction form
    3,356.51/5,035.77 = 1,603.74/x
  3. Step 3: Cross multiply
    3,356.51x = 5,035.77 × 1,603.74
  4. Step 4: Simplify right side
    3,356.51x = 8,076,065.78
  5. Step 5: Solve for x
    x = 8,076,065.78/3,356.51
  6. Step 6: Final answer
    x = 2,406.09

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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.