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Finding the Fourth Proportional to 4,804.13, 7,206.19 and 1,341.38

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Solution

The fourth proportional to 4,804.13, 7,206.19 and 1,341.38 is: 2,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.13 : 7,206.19 = 1,341.38 : x
  2. Step 2: Convert to fraction form
    4,804.13/7,206.19 = 1,341.38/x
  3. Step 3: Cross multiply
    4,804.13x = 7,206.19 × 1,341.38
  4. Step 4: Simplify right side
    4,804.13x = 9,666,199.76
  5. Step 5: Solve for x
    x = 9,666,199.76/4,804.13
  6. Step 6: Final answer
    x = 2,012.06

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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.