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Finding the Fourth Proportional to 3,454.61, 5,184.08 and 1,402.61

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Solution

The fourth proportional to 3,454.61, 5,184.08 and 1,402.61 is: 2,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.61 : 5,184.08 = 1,402.61 : x
  2. Step 2: Convert to fraction form
    3,454.61/5,184.08 = 1,402.61/x
  3. Step 3: Cross multiply
    3,454.61x = 5,184.08 × 1,402.61
  4. Step 4: Simplify right side
    3,454.61x = 7,271,242.45
  5. Step 5: Solve for x
    x = 7,271,242.45/3,454.61
  6. Step 6: Final answer
    x = 2,104.79

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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.