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Finding the Fourth Proportional to 4,706.40, 7,059.12 and 1,243.68

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Solution

The fourth proportional to 4,706.40, 7,059.12 and 1,243.68 is: 1,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.40 : 7,059.12 = 1,243.68 : x
  2. Step 2: Convert to fraction form
    4,706.40/7,059.12 = 1,243.68/x
  3. Step 3: Cross multiply
    4,706.40x = 7,059.12 × 1,243.68
  4. Step 4: Simplify right side
    4,706.40x = 8,779,286.36
  5. Step 5: Solve for x
    x = 8,779,286.36/4,706.40
  6. Step 6: Final answer
    x = 1,865.39

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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.