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Finding the Fourth Proportional to 5,484.28, 7,568.28 and 5,038

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Solution

The fourth proportional to 5,484.28, 7,568.28 and 5,038 is: 6,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.28 : 7,568.28 = 5,038 : x
  2. Step 2: Convert to fraction form
    5,484.28/7,568.28 = 5,038/x
  3. Step 3: Cross multiply
    5,484.28x = 7,568.28 × 5,038
  4. Step 4: Simplify right side
    5,484.28x = 38,128,994.64
  5. Step 5: Solve for x
    x = 38,128,994.64/5,484.28
  6. Step 6: Final answer
    x = 6,952.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.