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Finding the Fourth Proportional to 4,941.08, 7,410.06 and 1,653.40

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Solution

The fourth proportional to 4,941.08, 7,410.06 and 1,653.40 is: 2,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.08 : 7,410.06 = 1,653.40 : x
  2. Step 2: Convert to fraction form
    4,941.08/7,410.06 = 1,653.40/x
  3. Step 3: Cross multiply
    4,941.08x = 7,410.06 × 1,653.40
  4. Step 4: Simplify right side
    4,941.08x = 12,251,793.20
  5. Step 5: Solve for x
    x = 12,251,793.20/4,941.08
  6. Step 6: Final answer
    x = 2,479.58

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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.