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Finding the Fourth Proportional to 4,804.47, 7,210.80 and 1,884.82

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Solution

The fourth proportional to 4,804.47, 7,210.80 and 1,884.82 is: 2,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.47 : 7,210.80 = 1,884.82 : x
  2. Step 2: Convert to fraction form
    4,804.47/7,210.80 = 1,884.82/x
  3. Step 3: Cross multiply
    4,804.47x = 7,210.80 × 1,884.82
  4. Step 4: Simplify right side
    4,804.47x = 13,591,060.06
  5. Step 5: Solve for x
    x = 13,591,060.06/4,804.47
  6. Step 6: Final answer
    x = 2,828.84

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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.