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Finding the Fourth Proportional to 5,534, 8,302.04 and 2,456.08

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Solution

The fourth proportional to 5,534, 8,302.04 and 2,456.08 is: 3,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534 : 8,302.04 = 2,456.08 : x
  2. Step 2: Convert to fraction form
    5,534/8,302.04 = 2,456.08/x
  3. Step 3: Cross multiply
    5,534x = 8,302.04 × 2,456.08
  4. Step 4: Simplify right side
    5,534x = 20,390,474.40
  5. Step 5: Solve for x
    x = 20,390,474.40/5,534
  6. Step 6: Final answer
    x = 3,684.58

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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.