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Finding the Fourth Proportional to 4,904.06, 6,741.54 and 4,220.21

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Solution

The fourth proportional to 4,904.06, 6,741.54 and 4,220.21 is: 5,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.06 : 6,741.54 = 4,220.21 : x
  2. Step 2: Convert to fraction form
    4,904.06/6,741.54 = 4,220.21/x
  3. Step 3: Cross multiply
    4,904.06x = 6,741.54 × 4,220.21
  4. Step 4: Simplify right side
    4,904.06x = 28,450,700.55
  5. Step 5: Solve for x
    x = 28,450,700.55/4,904.06
  6. Step 6: Final answer
    x = 5,801.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.