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Finding the Fourth Proportional to 3,335.32, 5,004.60 and 1,603

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Solution

The fourth proportional to 3,335.32, 5,004.60 and 1,603 is: 2,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.32 : 5,004.60 = 1,603 : x
  2. Step 2: Convert to fraction form
    3,335.32/5,004.60 = 1,603/x
  3. Step 3: Cross multiply
    3,335.32x = 5,004.60 × 1,603
  4. Step 4: Simplify right side
    3,335.32x = 8,022,373.80
  5. Step 5: Solve for x
    x = 8,022,373.80/3,335.32
  6. Step 6: Final answer
    x = 2,405.28

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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.