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Finding the Fourth Proportional to 5,068.71, 6,994.76 and 2,830.63

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Solution

The fourth proportional to 5,068.71, 6,994.76 and 2,830.63 is: 3,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.71 : 6,994.76 = 2,830.63 : x
  2. Step 2: Convert to fraction form
    5,068.71/6,994.76 = 2,830.63/x
  3. Step 3: Cross multiply
    5,068.71x = 6,994.76 × 2,830.63
  4. Step 4: Simplify right side
    5,068.71x = 19,799,577.50
  5. Step 5: Solve for x
    x = 19,799,577.50/5,068.71
  6. Step 6: Final answer
    x = 3,906.24

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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.