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Finding the Fourth Proportional to 4,775.06, 7,164.71 and 1,853.59

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Solution

The fourth proportional to 4,775.06, 7,164.71 and 1,853.59 is: 2,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.06 : 7,164.71 = 1,853.59 : x
  2. Step 2: Convert to fraction form
    4,775.06/7,164.71 = 1,853.59/x
  3. Step 3: Cross multiply
    4,775.06x = 7,164.71 × 1,853.59
  4. Step 4: Simplify right side
    4,775.06x = 13,280,434.81
  5. Step 5: Solve for x
    x = 13,280,434.81/4,775.06
  6. Step 6: Final answer
    x = 2,781.21

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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.