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Finding the Fourth Proportional to 4,661.55, 7,017.84 and 4,253.31

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Solution

The fourth proportional to 4,661.55, 7,017.84 and 4,253.31 is: 6,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.55 : 7,017.84 = 4,253.31 : x
  2. Step 2: Convert to fraction form
    4,661.55/7,017.84 = 4,253.31/x
  3. Step 3: Cross multiply
    4,661.55x = 7,017.84 × 4,253.31
  4. Step 4: Simplify right side
    4,661.55x = 29,849,049.05
  5. Step 5: Solve for x
    x = 29,849,049.05/4,661.55
  6. Step 6: Final answer
    x = 6,403.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.