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Finding the Fourth Proportional to 4,625.31, 6,937.98 and 1,547.31

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Solution

The fourth proportional to 4,625.31, 6,937.98 and 1,547.31 is: 2,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.31 : 6,937.98 = 1,547.31 : x
  2. Step 2: Convert to fraction form
    4,625.31/6,937.98 = 1,547.31/x
  3. Step 3: Cross multiply
    4,625.31x = 6,937.98 × 1,547.31
  4. Step 4: Simplify right side
    4,625.31x = 10,735,205.83
  5. Step 5: Solve for x
    x = 10,735,205.83/4,625.31
  6. Step 6: Final answer
    x = 2,320.97

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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.