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Finding the Fourth Proportional to 4,975.90, 7,464.15 and 1,278.25

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Solution

The fourth proportional to 4,975.90, 7,464.15 and 1,278.25 is: 1,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.90 : 7,464.15 = 1,278.25 : x
  2. Step 2: Convert to fraction form
    4,975.90/7,464.15 = 1,278.25/x
  3. Step 3: Cross multiply
    4,975.90x = 7,464.15 × 1,278.25
  4. Step 4: Simplify right side
    4,975.90x = 9,541,031.08
  5. Step 5: Solve for x
    x = 9,541,031.08/4,975.90
  6. Step 6: Final answer
    x = 1,917.45

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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.