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Finding the Fourth Proportional to 3,695.22, 5,541.35 and 1,354.68

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Solution

The fourth proportional to 3,695.22, 5,541.35 and 1,354.68 is: 2,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.22 : 5,541.35 = 1,354.68 : x
  2. Step 2: Convert to fraction form
    3,695.22/5,541.35 = 1,354.68/x
  3. Step 3: Cross multiply
    3,695.22x = 5,541.35 × 1,354.68
  4. Step 4: Simplify right side
    3,695.22x = 7,506,749.24
  5. Step 5: Solve for x
    x = 7,506,749.24/3,695.22
  6. Step 6: Final answer
    x = 2,031.48

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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.