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Finding the Fourth Proportional to 4,547.88, 6,822.46 and 2,083.32

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Solution

The fourth proportional to 4,547.88, 6,822.46 and 2,083.32 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,822.46 = 2,083.32 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,822.46 = 2,083.32/x
  3. Step 3: Cross multiply
    4,547.88x = 6,822.46 × 2,083.32
  4. Step 4: Simplify right side
    4,547.88x = 14,213,367.37
  5. Step 5: Solve for x
    x = 14,213,367.37/4,547.88
  6. Step 6: Final answer
    x = 3,125.27

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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.