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Finding the Fourth Proportional to 4,700.92, 7,054.08 and 2,103.52

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Solution

The fourth proportional to 4,700.92, 7,054.08 and 2,103.52 is: 3,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.92 : 7,054.08 = 2,103.52 : x
  2. Step 2: Convert to fraction form
    4,700.92/7,054.08 = 2,103.52/x
  3. Step 3: Cross multiply
    4,700.92x = 7,054.08 × 2,103.52
  4. Step 4: Simplify right side
    4,700.92x = 14,838,398.36
  5. Step 5: Solve for x
    x = 14,838,398.36/4,700.92
  6. Step 6: Final answer
    x = 3,156.49

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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.