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Finding the Fourth Proportional to 4,561.25, 6,295.32 and 4,353.48

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Solution

The fourth proportional to 4,561.25, 6,295.32 and 4,353.48 is: 6,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.25 : 6,295.32 = 4,353.48 : x
  2. Step 2: Convert to fraction form
    4,561.25/6,295.32 = 4,353.48/x
  3. Step 3: Cross multiply
    4,561.25x = 6,295.32 × 4,353.48
  4. Step 4: Simplify right side
    4,561.25x = 27,406,549.71
  5. Step 5: Solve for x
    x = 27,406,549.71/4,561.25
  6. Step 6: Final answer
    x = 6,008.57

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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.