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Finding the Fourth Proportional to 4,828.98, 7,200.22 and 4,741.50

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Solution

The fourth proportional to 4,828.98, 7,200.22 and 4,741.50 is: 7,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.98 : 7,200.22 = 4,741.50 : x
  2. Step 2: Convert to fraction form
    4,828.98/7,200.22 = 4,741.50/x
  3. Step 3: Cross multiply
    4,828.98x = 7,200.22 × 4,741.50
  4. Step 4: Simplify right side
    4,828.98x = 34,139,831.28
  5. Step 5: Solve for x
    x = 34,139,831.28/4,828.98
  6. Step 6: Final answer
    x = 7,069.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.