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Finding the Fourth Proportional to 5,461.66, 8,199.42 and 4,548.39

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Solution

The fourth proportional to 5,461.66, 8,199.42 and 4,548.39 is: 6,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.66 : 8,199.42 = 4,548.39 : x
  2. Step 2: Convert to fraction form
    5,461.66/8,199.42 = 4,548.39/x
  3. Step 3: Cross multiply
    5,461.66x = 8,199.42 × 4,548.39
  4. Step 4: Simplify right side
    5,461.66x = 37,294,159.93
  5. Step 5: Solve for x
    x = 37,294,159.93/5,461.66
  6. Step 6: Final answer
    x = 6,828.36

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1.5x scale

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.