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Finding the Fourth Proportional to 5,093.36, 7,641.80 and 4,549.04

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Solution

The fourth proportional to 5,093.36, 7,641.80 and 4,549.04 is: 6,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.36 : 7,641.80 = 4,549.04 : x
  2. Step 2: Convert to fraction form
    5,093.36/7,641.80 = 4,549.04/x
  3. Step 3: Cross multiply
    5,093.36x = 7,641.80 × 4,549.04
  4. Step 4: Simplify right side
    5,093.36x = 34,762,853.87
  5. Step 5: Solve for x
    x = 34,762,853.87/5,093.36
  6. Step 6: Final answer
    x = 6,825.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.