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Finding the Fourth Proportional to 5,802.98, 8,705.07 and 2,516.40

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Solution

The fourth proportional to 5,802.98, 8,705.07 and 2,516.40 is: 3,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.98 : 8,705.07 = 2,516.40 : x
  2. Step 2: Convert to fraction form
    5,802.98/8,705.07 = 2,516.40/x
  3. Step 3: Cross multiply
    5,802.98x = 8,705.07 × 2,516.40
  4. Step 4: Simplify right side
    5,802.98x = 21,905,438.15
  5. Step 5: Solve for x
    x = 21,905,438.15/5,802.98
  6. Step 6: Final answer
    x = 3,774.86

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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.