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Finding the Fourth Proportional to 4,570.76, 6,854.94 and 1,648.52

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Solution

The fourth proportional to 4,570.76, 6,854.94 and 1,648.52 is: 2,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.76 : 6,854.94 = 1,648.52 : x
  2. Step 2: Convert to fraction form
    4,570.76/6,854.94 = 1,648.52/x
  3. Step 3: Cross multiply
    4,570.76x = 6,854.94 × 1,648.52
  4. Step 4: Simplify right side
    4,570.76x = 11,300,505.69
  5. Step 5: Solve for x
    x = 11,300,505.69/4,570.76
  6. Step 6: Final answer
    x = 2,472.35

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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.