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Finding the Fourth Proportional to 4,567.51, 6,843.16 and 3,101.41

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Solution

The fourth proportional to 4,567.51, 6,843.16 and 3,101.41 is: 4,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.51 : 6,843.16 = 3,101.41 : x
  2. Step 2: Convert to fraction form
    4,567.51/6,843.16 = 3,101.41/x
  3. Step 3: Cross multiply
    4,567.51x = 6,843.16 × 3,101.41
  4. Step 4: Simplify right side
    4,567.51x = 21,223,444.86
  5. Step 5: Solve for x
    x = 21,223,444.86/4,567.51
  6. Step 6: Final answer
    x = 4,646.61

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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.