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Finding the Fourth Proportional to 4,155.93, 5,723.51 and 4,065.21

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Solution

The fourth proportional to 4,155.93, 5,723.51 and 4,065.21 is: 5,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.93 : 5,723.51 = 4,065.21 : x
  2. Step 2: Convert to fraction form
    4,155.93/5,723.51 = 4,065.21/x
  3. Step 3: Cross multiply
    4,155.93x = 5,723.51 × 4,065.21
  4. Step 4: Simplify right side
    4,155.93x = 23,267,270.09
  5. Step 5: Solve for x
    x = 23,267,270.09/4,155.93
  6. Step 6: Final answer
    x = 5,598.57

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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.