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Finding the Fourth Proportional to 5,044, 7,566.08 and 1,396

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Solution

The fourth proportional to 5,044, 7,566.08 and 1,396 is: 2,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044 : 7,566.08 = 1,396 : x
  2. Step 2: Convert to fraction form
    5,044/7,566.08 = 1,396/x
  3. Step 3: Cross multiply
    5,044x = 7,566.08 × 1,396
  4. Step 4: Simplify right side
    5,044x = 10,562,247.68
  5. Step 5: Solve for x
    x = 10,562,247.68/5,044
  6. Step 6: Final answer
    x = 2,094.02

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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.