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Finding the Fourth Proportional to 4,758.80, 6,558.24 and 3,430.24

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Solution

The fourth proportional to 4,758.80, 6,558.24 and 3,430.24 is: 4,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.80 : 6,558.24 = 3,430.24 : x
  2. Step 2: Convert to fraction form
    4,758.80/6,558.24 = 3,430.24/x
  3. Step 3: Cross multiply
    4,758.80x = 6,558.24 × 3,430.24
  4. Step 4: Simplify right side
    4,758.80x = 22,496,337.18
  5. Step 5: Solve for x
    x = 22,496,337.18/4,758.80
  6. Step 6: Final answer
    x = 4,727.31

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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.