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Finding the Fourth Proportional to 5,659.36, 7,804.32 and 4,318.40

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Solution

The fourth proportional to 5,659.36, 7,804.32 and 4,318.40 is: 5,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.36 : 7,804.32 = 4,318.40 : x
  2. Step 2: Convert to fraction form
    5,659.36/7,804.32 = 4,318.40/x
  3. Step 3: Cross multiply
    5,659.36x = 7,804.32 × 4,318.40
  4. Step 4: Simplify right side
    5,659.36x = 33,702,175.49
  5. Step 5: Solve for x
    x = 33,702,175.49/5,659.36
  6. Step 6: Final answer
    x = 5,955.12

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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.