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Finding the Fourth Proportional to 4,549.08, 6,823.58 and 1,471.08

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Solution

The fourth proportional to 4,549.08, 6,823.58 and 1,471.08 is: 2,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.08 : 6,823.58 = 1,471.08 : x
  2. Step 2: Convert to fraction form
    4,549.08/6,823.58 = 1,471.08/x
  3. Step 3: Cross multiply
    4,549.08x = 6,823.58 × 1,471.08
  4. Step 4: Simplify right side
    4,549.08x = 10,038,032.07
  5. Step 5: Solve for x
    x = 10,038,032.07/4,549.08
  6. Step 6: Final answer
    x = 2,206.61

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Why These Related Problems?

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