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Finding the Fourth Proportional to 4,699.87, 6,490.46 and 3,703.57

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Solution

The fourth proportional to 4,699.87, 6,490.46 and 3,703.57 is: 5,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.87 : 6,490.46 = 3,703.57 : x
  2. Step 2: Convert to fraction form
    4,699.87/6,490.46 = 3,703.57/x
  3. Step 3: Cross multiply
    4,699.87x = 6,490.46 × 3,703.57
  4. Step 4: Simplify right side
    4,699.87x = 24,037,872.94
  5. Step 5: Solve for x
    x = 24,037,872.94/4,699.87
  6. Step 6: Final answer
    x = 5,114.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.