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Finding the Fourth Proportional to 5,807.95, 8,705.96 and 2,296.53

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Solution

The fourth proportional to 5,807.95, 8,705.96 and 2,296.53 is: 3,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.95 : 8,705.96 = 2,296.53 : x
  2. Step 2: Convert to fraction form
    5,807.95/8,705.96 = 2,296.53/x
  3. Step 3: Cross multiply
    5,807.95x = 8,705.96 × 2,296.53
  4. Step 4: Simplify right side
    5,807.95x = 19,993,495.45
  5. Step 5: Solve for x
    x = 19,993,495.45/5,807.95
  6. Step 6: Final answer
    x = 3,442.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.