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Finding the Fourth Proportional to 4,435.08, 6,117.30 and 3,813

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Solution

The fourth proportional to 4,435.08, 6,117.30 and 3,813 is: 5,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.08 : 6,117.30 = 3,813 : x
  2. Step 2: Convert to fraction form
    4,435.08/6,117.30 = 3,813/x
  3. Step 3: Cross multiply
    4,435.08x = 6,117.30 × 3,813
  4. Step 4: Simplify right side
    4,435.08x = 23,325,264.90
  5. Step 5: Solve for x
    x = 23,325,264.90/4,435.08
  6. Step 6: Final answer
    x = 5,259.27

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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.