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Finding the Fourth Proportional to 4,570.40, 6,857.20 and 1,975.20

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Solution

The fourth proportional to 4,570.40, 6,857.20 and 1,975.20 is: 2,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.40 : 6,857.20 = 1,975.20 : x
  2. Step 2: Convert to fraction form
    4,570.40/6,857.20 = 1,975.20/x
  3. Step 3: Cross multiply
    4,570.40x = 6,857.20 × 1,975.20
  4. Step 4: Simplify right side
    4,570.40x = 13,544,341.44
  5. Step 5: Solve for x
    x = 13,544,341.44/4,570.40
  6. Step 6: Final answer
    x = 2,963.49

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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.