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Finding the Fourth Proportional to 5,062.50, 6,985.98 and 2,824.47

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Solution

The fourth proportional to 5,062.50, 6,985.98 and 2,824.47 is: 3,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.50 : 6,985.98 = 2,824.47 : x
  2. Step 2: Convert to fraction form
    5,062.50/6,985.98 = 2,824.47/x
  3. Step 3: Cross multiply
    5,062.50x = 6,985.98 × 2,824.47
  4. Step 4: Simplify right side
    5,062.50x = 19,731,690.93
  5. Step 5: Solve for x
    x = 19,731,690.93/5,062.50
  6. Step 6: Final answer
    x = 3,897.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.