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Finding the Fourth Proportional to 3,622.60, 5,434.22 and 1,430.81

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Solution

The fourth proportional to 3,622.60, 5,434.22 and 1,430.81 is: 2,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.60 : 5,434.22 = 1,430.81 : x
  2. Step 2: Convert to fraction form
    3,622.60/5,434.22 = 1,430.81/x
  3. Step 3: Cross multiply
    3,622.60x = 5,434.22 × 1,430.81
  4. Step 4: Simplify right side
    3,622.60x = 7,775,336.32
  5. Step 5: Solve for x
    x = 7,775,336.32/3,622.60
  6. Step 6: Final answer
    x = 2,146.34

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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.