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Finding the Fourth Proportional to 4,684.81, 7,026.42 and 1,564.46

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Solution

The fourth proportional to 4,684.81, 7,026.42 and 1,564.46 is: 2,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.81 : 7,026.42 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    4,684.81/7,026.42 = 1,564.46/x
  3. Step 3: Cross multiply
    4,684.81x = 7,026.42 × 1,564.46
  4. Step 4: Simplify right side
    4,684.81x = 10,992,585.24
  5. Step 5: Solve for x
    x = 10,992,585.24/4,684.81
  6. Step 6: Final answer
    x = 2,346.43

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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.