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Finding the Fourth Proportional to 5,602.97, 8,406.28 and 4,674.71

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Solution

The fourth proportional to 5,602.97, 8,406.28 and 4,674.71 is: 7,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.97 : 8,406.28 = 4,674.71 : x
  2. Step 2: Convert to fraction form
    5,602.97/8,406.28 = 4,674.71/x
  3. Step 3: Cross multiply
    5,602.97x = 8,406.28 × 4,674.71
  4. Step 4: Simplify right side
    5,602.97x = 39,296,948.04
  5. Step 5: Solve for x
    x = 39,296,948.04/5,602.97
  6. Step 6: Final answer
    x = 7,013.59

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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.