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Finding the Fourth Proportional to 4,323.78, 6,484.08 and 1,549.71

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Solution

The fourth proportional to 4,323.78, 6,484.08 and 1,549.71 is: 2,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.78 : 6,484.08 = 1,549.71 : x
  2. Step 2: Convert to fraction form
    4,323.78/6,484.08 = 1,549.71/x
  3. Step 3: Cross multiply
    4,323.78x = 6,484.08 × 1,549.71
  4. Step 4: Simplify right side
    4,323.78x = 10,048,443.62
  5. Step 5: Solve for x
    x = 10,048,443.62/4,323.78
  6. Step 6: Final answer
    x = 2,324.00

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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.