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Finding the Fourth Proportional to 4,019.18, 6,038 and 2,852.06

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Solution

The fourth proportional to 4,019.18, 6,038 and 2,852.06 is: 4,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.18 : 6,038 = 2,852.06 : x
  2. Step 2: Convert to fraction form
    4,019.18/6,038 = 2,852.06/x
  3. Step 3: Cross multiply
    4,019.18x = 6,038 × 2,852.06
  4. Step 4: Simplify right side
    4,019.18x = 17,220,738.28
  5. Step 5: Solve for x
    x = 17,220,738.28/4,019.18
  6. Step 6: Final answer
    x = 4,284.64

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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.