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Finding the Fourth Proportional to 5,254, 7,881 and 2,176.08

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Solution

The fourth proportional to 5,254, 7,881 and 2,176.08 is: 3,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254 : 7,881 = 2,176.08 : x
  2. Step 2: Convert to fraction form
    5,254/7,881 = 2,176.08/x
  3. Step 3: Cross multiply
    5,254x = 7,881 × 2,176.08
  4. Step 4: Simplify right side
    5,254x = 17,149,686.48
  5. Step 5: Solve for x
    x = 17,149,686.48/5,254
  6. Step 6: Final answer
    x = 3,264.12

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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.