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Finding the Fourth Proportional to 3,574.35, 5,362.04 and 1,354.00

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Solution

The fourth proportional to 3,574.35, 5,362.04 and 1,354.00 is: 2,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.35 : 5,362.04 = 1,354.00 : x
  2. Step 2: Convert to fraction form
    3,574.35/5,362.04 = 1,354.00/x
  3. Step 3: Cross multiply
    3,574.35x = 5,362.04 × 1,354.00
  4. Step 4: Simplify right side
    3,574.35x = 7,260,181.98
  5. Step 5: Solve for x
    x = 7,260,181.98/3,574.35
  6. Step 6: Final answer
    x = 2,031.19

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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.