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Finding the Fourth Proportional to 4,129.83, 5,699.03 and 2,361.40

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Solution

The fourth proportional to 4,129.83, 5,699.03 and 2,361.40 is: 3,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.83 : 5,699.03 = 2,361.40 : x
  2. Step 2: Convert to fraction form
    4,129.83/5,699.03 = 2,361.40/x
  3. Step 3: Cross multiply
    4,129.83x = 5,699.03 × 2,361.40
  4. Step 4: Simplify right side
    4,129.83x = 13,457,663.39
  5. Step 5: Solve for x
    x = 13,457,663.39/4,129.83
  6. Step 6: Final answer
    x = 3,258.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.