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Finding the Fourth Proportional to 4,716.78, 7,075.26 and 1,254

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Solution

The fourth proportional to 4,716.78, 7,075.26 and 1,254 is: 1,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.78 : 7,075.26 = 1,254 : x
  2. Step 2: Convert to fraction form
    4,716.78/7,075.26 = 1,254/x
  3. Step 3: Cross multiply
    4,716.78x = 7,075.26 × 1,254
  4. Step 4: Simplify right side
    4,716.78x = 8,872,376.04
  5. Step 5: Solve for x
    x = 8,872,376.04/4,716.78
  6. Step 6: Final answer
    x = 1,881.02

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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.