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Finding the Fourth Proportional to 4,606.84, 6,359.33 and 3,116.77

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Solution

The fourth proportional to 4,606.84, 6,359.33 and 3,116.77 is: 4,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.84 : 6,359.33 = 3,116.77 : x
  2. Step 2: Convert to fraction form
    4,606.84/6,359.33 = 3,116.77/x
  3. Step 3: Cross multiply
    4,606.84x = 6,359.33 × 3,116.77
  4. Step 4: Simplify right side
    4,606.84x = 19,820,569.28
  5. Step 5: Solve for x
    x = 19,820,569.28/4,606.84
  6. Step 6: Final answer
    x = 4,302.43

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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.