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Finding the Fourth Proportional to 4,589.40, 6,884.21 and 1,302.46

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Solution

The fourth proportional to 4,589.40, 6,884.21 and 1,302.46 is: 1,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.40 : 6,884.21 = 1,302.46 : x
  2. Step 2: Convert to fraction form
    4,589.40/6,884.21 = 1,302.46/x
  3. Step 3: Cross multiply
    4,589.40x = 6,884.21 × 1,302.46
  4. Step 4: Simplify right side
    4,589.40x = 8,966,408.16
  5. Step 5: Solve for x
    x = 8,966,408.16/4,589.40
  6. Step 6: Final answer
    x = 1,953.72

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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.