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Finding the Fourth Proportional to 5,302.64, 7,952 and 2,014.08

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Solution

The fourth proportional to 5,302.64, 7,952 and 2,014.08 is: 3,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.64 : 7,952 = 2,014.08 : x
  2. Step 2: Convert to fraction form
    5,302.64/7,952 = 2,014.08/x
  3. Step 3: Cross multiply
    5,302.64x = 7,952 × 2,014.08
  4. Step 4: Simplify right side
    5,302.64x = 16,015,964.16
  5. Step 5: Solve for x
    x = 16,015,964.16/5,302.64
  6. Step 6: Final answer
    x = 3,020.38

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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.