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Finding the Fourth Proportional to 4,710.78, 7,060.02 and 1,934.16

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Solution

The fourth proportional to 4,710.78, 7,060.02 and 1,934.16 is: 2,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.78 : 7,060.02 = 1,934.16 : x
  2. Step 2: Convert to fraction form
    4,710.78/7,060.02 = 1,934.16/x
  3. Step 3: Cross multiply
    4,710.78x = 7,060.02 × 1,934.16
  4. Step 4: Simplify right side
    4,710.78x = 13,655,208.28
  5. Step 5: Solve for x
    x = 13,655,208.28/4,710.78
  6. Step 6: Final answer
    x = 2,898.71

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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.