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Finding the Fourth Proportional to 6,458.95, 8,911.06 and 4,222.11

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Solution

The fourth proportional to 6,458.95, 8,911.06 and 4,222.11 is: 5,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.95 : 8,911.06 = 4,222.11 : x
  2. Step 2: Convert to fraction form
    6,458.95/8,911.06 = 4,222.11/x
  3. Step 3: Cross multiply
    6,458.95x = 8,911.06 × 4,222.11
  4. Step 4: Simplify right side
    6,458.95x = 37,623,475.54
  5. Step 5: Solve for x
    x = 37,623,475.54/6,458.95
  6. Step 6: Final answer
    x = 5,825.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.