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Finding the Fourth Proportional to 4,177.63, 6,266.55 and 1,404.40

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Solution

The fourth proportional to 4,177.63, 6,266.55 and 1,404.40 is: 2,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.63 : 6,266.55 = 1,404.40 : x
  2. Step 2: Convert to fraction form
    4,177.63/6,266.55 = 1,404.40/x
  3. Step 3: Cross multiply
    4,177.63x = 6,266.55 × 1,404.40
  4. Step 4: Simplify right side
    4,177.63x = 8,800,742.82
  5. Step 5: Solve for x
    x = 8,800,742.82/4,177.63
  6. Step 6: Final answer
    x = 2,106.64

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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.