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Finding the Fourth Proportional to 5,642.97, 8,461.61 and 3,303.68

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Solution

The fourth proportional to 5,642.97, 8,461.61 and 3,303.68 is: 4,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.97 : 8,461.61 = 3,303.68 : x
  2. Step 2: Convert to fraction form
    5,642.97/8,461.61 = 3,303.68/x
  3. Step 3: Cross multiply
    5,642.97x = 8,461.61 × 3,303.68
  4. Step 4: Simplify right side
    5,642.97x = 27,954,437.02
  5. Step 5: Solve for x
    x = 27,954,437.02/5,642.97
  6. Step 6: Final answer
    x = 4,953.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.