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Finding the Fourth Proportional to 4,059.25, 6,088.88 and 981.25

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Solution

The fourth proportional to 4,059.25, 6,088.88 and 981.25 is: 1,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.25 : 6,088.88 = 981.25 : x
  2. Step 2: Convert to fraction form
    4,059.25/6,088.88 = 981.25/x
  3. Step 3: Cross multiply
    4,059.25x = 6,088.88 × 981.25
  4. Step 4: Simplify right side
    4,059.25x = 5,974,713.50
  5. Step 5: Solve for x
    x = 5,974,713.50/4,059.25
  6. Step 6: Final answer
    x = 1,471.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.