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Finding the Fourth Proportional to 5,301.08, 7,964 and 5,001.84

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Solution

The fourth proportional to 5,301.08, 7,964 and 5,001.84 is: 7,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.08 : 7,964 = 5,001.84 : x
  2. Step 2: Convert to fraction form
    5,301.08/7,964 = 5,001.84/x
  3. Step 3: Cross multiply
    5,301.08x = 7,964 × 5,001.84
  4. Step 4: Simplify right side
    5,301.08x = 39,834,653.76
  5. Step 5: Solve for x
    x = 39,834,653.76/5,301.08
  6. Step 6: Final answer
    x = 7,514.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.