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Finding the Fourth Proportional to 5,700.94, 7,858.66 and 4,439.77

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Solution

The fourth proportional to 5,700.94, 7,858.66 and 4,439.77 is: 6,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.94 : 7,858.66 = 4,439.77 : x
  2. Step 2: Convert to fraction form
    5,700.94/7,858.66 = 4,439.77/x
  3. Step 3: Cross multiply
    5,700.94x = 7,858.66 × 4,439.77
  4. Step 4: Simplify right side
    5,700.94x = 34,890,642.91
  5. Step 5: Solve for x
    x = 34,890,642.91/5,700.94
  6. Step 6: Final answer
    x = 6,120.16

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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.