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Finding the Fourth Proportional to 5,534.88, 8,303.04 and 1,838.40

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Solution

The fourth proportional to 5,534.88, 8,303.04 and 1,838.40 is: 2,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.88 : 8,303.04 = 1,838.40 : x
  2. Step 2: Convert to fraction form
    5,534.88/8,303.04 = 1,838.40/x
  3. Step 3: Cross multiply
    5,534.88x = 8,303.04 × 1,838.40
  4. Step 4: Simplify right side
    5,534.88x = 15,264,308.74
  5. Step 5: Solve for x
    x = 15,264,308.74/5,534.88
  6. Step 6: Final answer
    x = 2,757.84

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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.