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Finding the Fourth Proportional to 5,798.42, 8,001.76 and 3,145.81

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Solution

The fourth proportional to 5,798.42, 8,001.76 and 3,145.81 is: 4,341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.42 : 8,001.76 = 3,145.81 : x
  2. Step 2: Convert to fraction form
    5,798.42/8,001.76 = 3,145.81/x
  3. Step 3: Cross multiply
    5,798.42x = 8,001.76 × 3,145.81
  4. Step 4: Simplify right side
    5,798.42x = 25,172,016.63
  5. Step 5: Solve for x
    x = 25,172,016.63/5,798.42
  6. Step 6: Final answer
    x = 4,341.19

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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.