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Finding the Fourth Proportional to 5,655.54, 7,806.69 and 4,605.78

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Solution

The fourth proportional to 5,655.54, 7,806.69 and 4,605.78 is: 6,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.54 : 7,806.69 = 4,605.78 : x
  2. Step 2: Convert to fraction form
    5,655.54/7,806.69 = 4,605.78/x
  3. Step 3: Cross multiply
    5,655.54x = 7,806.69 × 4,605.78
  4. Step 4: Simplify right side
    5,655.54x = 35,955,896.67
  5. Step 5: Solve for x
    x = 35,955,896.67/5,655.54
  6. Step 6: Final answer
    x = 6,357.64

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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.