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Finding the Fourth Proportional to 4,952.83, 7,377.64 and 4,689.87

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Solution

The fourth proportional to 4,952.83, 7,377.64 and 4,689.87 is: 6,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.83 : 7,377.64 = 4,689.87 : x
  2. Step 2: Convert to fraction form
    4,952.83/7,377.64 = 4,689.87/x
  3. Step 3: Cross multiply
    4,952.83x = 7,377.64 × 4,689.87
  4. Step 4: Simplify right side
    4,952.83x = 34,600,188.45
  5. Step 5: Solve for x
    x = 34,600,188.45/4,952.83
  6. Step 6: Final answer
    x = 6,985.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.