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Finding the Fourth Proportional to 4,701.75, 6,489.02 and 3,088.05

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Solution

The fourth proportional to 4,701.75, 6,489.02 and 3,088.05 is: 4,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.75 : 6,489.02 = 3,088.05 : x
  2. Step 2: Convert to fraction form
    4,701.75/6,489.02 = 3,088.05/x
  3. Step 3: Cross multiply
    4,701.75x = 6,489.02 × 3,088.05
  4. Step 4: Simplify right side
    4,701.75x = 20,038,418.21
  5. Step 5: Solve for x
    x = 20,038,418.21/4,701.75
  6. Step 6: Final answer
    x = 4,261.91

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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.