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Finding the Fourth Proportional to 5,304.64, 7,955 and 2,016.08

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Solution

The fourth proportional to 5,304.64, 7,955 and 2,016.08 is: 3,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.64 : 7,955 = 2,016.08 : x
  2. Step 2: Convert to fraction form
    5,304.64/7,955 = 2,016.08/x
  3. Step 3: Cross multiply
    5,304.64x = 7,955 × 2,016.08
  4. Step 4: Simplify right side
    5,304.64x = 16,037,916.40
  5. Step 5: Solve for x
    x = 16,037,916.40/5,304.64
  6. Step 6: Final answer
    x = 3,023.38

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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.