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Finding the Fourth Proportional to 5,406.51, 7,461.09 and 2,983.95

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Solution

The fourth proportional to 5,406.51, 7,461.09 and 2,983.95 is: 4,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.51 : 7,461.09 = 2,983.95 : x
  2. Step 2: Convert to fraction form
    5,406.51/7,461.09 = 2,983.95/x
  3. Step 3: Cross multiply
    5,406.51x = 7,461.09 × 2,983.95
  4. Step 4: Simplify right side
    5,406.51x = 22,263,519.51
  5. Step 5: Solve for x
    x = 22,263,519.51/5,406.51
  6. Step 6: Final answer
    x = 4,117.91

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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.