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Finding the Fourth Proportional to 5,549.96, 8,326.53 and 1,854.62

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Solution

The fourth proportional to 5,549.96, 8,326.53 and 1,854.62 is: 2,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.96 : 8,326.53 = 1,854.62 : x
  2. Step 2: Convert to fraction form
    5,549.96/8,326.53 = 1,854.62/x
  3. Step 3: Cross multiply
    5,549.96x = 8,326.53 × 1,854.62
  4. Step 4: Simplify right side
    5,549.96x = 15,442,549.07
  5. Step 5: Solve for x
    x = 15,442,549.07/5,549.96
  6. Step 6: Final answer
    x = 2,782.46

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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.