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Finding the Fourth Proportional to 5,802.84, 8,707.50 and 2,883.96

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Solution

The fourth proportional to 5,802.84, 8,707.50 and 2,883.96 is: 4,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.84 : 8,707.50 = 2,883.96 : x
  2. Step 2: Convert to fraction form
    5,802.84/8,707.50 = 2,883.96/x
  3. Step 3: Cross multiply
    5,802.84x = 8,707.50 × 2,883.96
  4. Step 4: Simplify right side
    5,802.84x = 25,112,081.70
  5. Step 5: Solve for x
    x = 25,112,081.70/5,802.84
  6. Step 6: Final answer
    x = 4,327.55

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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.