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Finding the Fourth Proportional to 4,806.94, 7,210.50 and 1,885.36

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Solution

The fourth proportional to 4,806.94, 7,210.50 and 1,885.36 is: 2,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.94 : 7,210.50 = 1,885.36 : x
  2. Step 2: Convert to fraction form
    4,806.94/7,210.50 = 1,885.36/x
  3. Step 3: Cross multiply
    4,806.94x = 7,210.50 × 1,885.36
  4. Step 4: Simplify right side
    4,806.94x = 13,594,388.28
  5. Step 5: Solve for x
    x = 13,594,388.28/4,806.94
  6. Step 6: Final answer
    x = 2,828.08

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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.