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Finding the Fourth Proportional to 5,803.56, 8,705.37 and 1,643.46

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Solution

The fourth proportional to 5,803.56, 8,705.37 and 1,643.46 is: 2,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.56 : 8,705.37 = 1,643.46 : x
  2. Step 2: Convert to fraction form
    5,803.56/8,705.37 = 1,643.46/x
  3. Step 3: Cross multiply
    5,803.56x = 8,705.37 × 1,643.46
  4. Step 4: Simplify right side
    5,803.56x = 14,306,927.38
  5. Step 5: Solve for x
    x = 14,306,927.38/5,803.56
  6. Step 6: Final answer
    x = 2,465.20

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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.