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Finding the Fourth Proportional to 4,698.70, 7,028.60 and 4,271.02

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Solution

The fourth proportional to 4,698.70, 7,028.60 and 4,271.02 is: 6,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.70 : 7,028.60 = 4,271.02 : x
  2. Step 2: Convert to fraction form
    4,698.70/7,028.60 = 4,271.02/x
  3. Step 3: Cross multiply
    4,698.70x = 7,028.60 × 4,271.02
  4. Step 4: Simplify right side
    4,698.70x = 30,019,291.17
  5. Step 5: Solve for x
    x = 30,019,291.17/4,698.70
  6. Step 6: Final answer
    x = 6,388.85

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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.