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Finding the Fourth Proportional to 6,544.85, 9,809.24 and 3,030.08

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Solution

The fourth proportional to 6,544.85, 9,809.24 and 3,030.08 is: 4,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.85 : 9,809.24 = 3,030.08 : x
  2. Step 2: Convert to fraction form
    6,544.85/9,809.24 = 3,030.08/x
  3. Step 3: Cross multiply
    6,544.85x = 9,809.24 × 3,030.08
  4. Step 4: Simplify right side
    6,544.85x = 29,722,717.74
  5. Step 5: Solve for x
    x = 29,722,717.74/6,544.85
  6. Step 6: Final answer
    x = 4,541.39

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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.