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Finding the Fourth Proportional to 6,296.51, 8,689.42 and 3,464.01

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Solution

The fourth proportional to 6,296.51, 8,689.42 and 3,464.01 is: 4,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.51 : 8,689.42 = 3,464.01 : x
  2. Step 2: Convert to fraction form
    6,296.51/8,689.42 = 3,464.01/x
  3. Step 3: Cross multiply
    6,296.51x = 8,689.42 × 3,464.01
  4. Step 4: Simplify right side
    6,296.51x = 30,100,242.10
  5. Step 5: Solve for x
    x = 30,100,242.10/6,296.51
  6. Step 6: Final answer
    x = 4,780.46

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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.