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Finding the Fourth Proportional to 5,802.84, 8,705.88 and 4,344.84

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Solution

The fourth proportional to 5,802.84, 8,705.88 and 4,344.84 is: 6,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.84 : 8,705.88 = 4,344.84 : x
  2. Step 2: Convert to fraction form
    5,802.84/8,705.88 = 4,344.84/x
  3. Step 3: Cross multiply
    5,802.84x = 8,705.88 × 4,344.84
  4. Step 4: Simplify right side
    5,802.84x = 37,825,655.66
  5. Step 5: Solve for x
    x = 37,825,655.66/5,802.84
  6. Step 6: Final answer
    x = 6,518.47

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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.