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Finding the Fourth Proportional to 4,686.14, 7,029.20 and 1,223.39

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Solution

The fourth proportional to 4,686.14, 7,029.20 and 1,223.39 is: 1,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.14 : 7,029.20 = 1,223.39 : x
  2. Step 2: Convert to fraction form
    4,686.14/7,029.20 = 1,223.39/x
  3. Step 3: Cross multiply
    4,686.14x = 7,029.20 × 1,223.39
  4. Step 4: Simplify right side
    4,686.14x = 8,599,432.36
  5. Step 5: Solve for x
    x = 8,599,432.36/4,686.14
  6. Step 6: Final answer
    x = 1,835.08

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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.