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Finding the Fourth Proportional to 4,567.86, 6,853.59 and 1,648.17

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Solution

The fourth proportional to 4,567.86, 6,853.59 and 1,648.17 is: 2,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.86 : 6,853.59 = 1,648.17 : x
  2. Step 2: Convert to fraction form
    4,567.86/6,853.59 = 1,648.17/x
  3. Step 3: Cross multiply
    4,567.86x = 6,853.59 × 1,648.17
  4. Step 4: Simplify right side
    4,567.86x = 11,295,881.43
  5. Step 5: Solve for x
    x = 11,295,881.43/4,567.86
  6. Step 6: Final answer
    x = 2,472.90

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