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Finding the Fourth Proportional to 3,775.59, 5,210.37 and 2,283.26

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Solution

The fourth proportional to 3,775.59, 5,210.37 and 2,283.26 is: 3,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.59 : 5,210.37 = 2,283.26 : x
  2. Step 2: Convert to fraction form
    3,775.59/5,210.37 = 2,283.26/x
  3. Step 3: Cross multiply
    3,775.59x = 5,210.37 × 2,283.26
  4. Step 4: Simplify right side
    3,775.59x = 11,896,603.35
  5. Step 5: Solve for x
    x = 11,896,603.35/3,775.59
  6. Step 6: Final answer
    x = 3,150.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.