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Finding the Fourth Proportional to 4,662.90, 6,426.54 and 3,541.32

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Solution

The fourth proportional to 4,662.90, 6,426.54 and 3,541.32 is: 4,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.90 : 6,426.54 = 3,541.32 : x
  2. Step 2: Convert to fraction form
    4,662.90/6,426.54 = 3,541.32/x
  3. Step 3: Cross multiply
    4,662.90x = 6,426.54 × 3,541.32
  4. Step 4: Simplify right side
    4,662.90x = 22,758,434.63
  5. Step 5: Solve for x
    x = 22,758,434.63/4,662.90
  6. Step 6: Final answer
    x = 4,880.75

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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.