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Finding the Fourth Proportional to 4,570.59, 6,855.10 and 1,648.47

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Solution

The fourth proportional to 4,570.59, 6,855.10 and 1,648.47 is: 2,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.59 : 6,855.10 = 1,648.47 : x
  2. Step 2: Convert to fraction form
    4,570.59/6,855.10 = 1,648.47/x
  3. Step 3: Cross multiply
    4,570.59x = 6,855.10 × 1,648.47
  4. Step 4: Simplify right side
    4,570.59x = 11,300,426.70
  5. Step 5: Solve for x
    x = 11,300,426.70/4,570.59
  6. Step 6: Final answer
    x = 2,472.42

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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.