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Finding the Fourth Proportional to 4,570.80, 6,848.88 and 1,794.24

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Solution

The fourth proportional to 4,570.80, 6,848.88 and 1,794.24 is: 2,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.80 : 6,848.88 = 1,794.24 : x
  2. Step 2: Convert to fraction form
    4,570.80/6,848.88 = 1,794.24/x
  3. Step 3: Cross multiply
    4,570.80x = 6,848.88 × 1,794.24
  4. Step 4: Simplify right side
    4,570.80x = 12,288,534.45
  5. Step 5: Solve for x
    x = 12,288,534.45/4,570.80
  6. Step 6: Final answer
    x = 2,688.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.