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Finding the Fourth Proportional to 6,440.81, 8,888.31 and 3,646.57

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Solution

The fourth proportional to 6,440.81, 8,888.31 and 3,646.57 is: 5,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.81 : 8,888.31 = 3,646.57 : x
  2. Step 2: Convert to fraction form
    6,440.81/8,888.31 = 3,646.57/x
  3. Step 3: Cross multiply
    6,440.81x = 8,888.31 × 3,646.57
  4. Step 4: Simplify right side
    6,440.81x = 32,411,826.36
  5. Step 5: Solve for x
    x = 32,411,826.36/6,440.81
  6. Step 6: Final answer
    x = 5,032.26

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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.