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Finding the Fourth Proportional to 5,798.88, 8,002.56 and 3,314.88

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Solution

The fourth proportional to 5,798.88, 8,002.56 and 3,314.88 is: 4,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.88 : 8,002.56 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    5,798.88/8,002.56 = 3,314.88/x
  3. Step 3: Cross multiply
    5,798.88x = 8,002.56 × 3,314.88
  4. Step 4: Simplify right side
    5,798.88x = 26,527,526.09
  5. Step 5: Solve for x
    x = 26,527,526.09/5,798.88
  6. Step 6: Final answer
    x = 4,574.59

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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.