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Finding the Fourth Proportional to 3,133.60, 4,691.75 and 2,547.23

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Solution

The fourth proportional to 3,133.60, 4,691.75 and 2,547.23 is: 3,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.60 : 4,691.75 = 2,547.23 : x
  2. Step 2: Convert to fraction form
    3,133.60/4,691.75 = 2,547.23/x
  3. Step 3: Cross multiply
    3,133.60x = 4,691.75 × 2,547.23
  4. Step 4: Simplify right side
    3,133.60x = 11,950,953.62
  5. Step 5: Solve for x
    x = 11,950,953.62/3,133.60
  6. Step 6: Final answer
    x = 3,813.82

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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.