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Finding the Fourth Proportional to 3,419.77, 5,131.40 and 1,570.69

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Solution

The fourth proportional to 3,419.77, 5,131.40 and 1,570.69 is: 2,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.77 : 5,131.40 = 1,570.69 : x
  2. Step 2: Convert to fraction form
    3,419.77/5,131.40 = 1,570.69/x
  3. Step 3: Cross multiply
    3,419.77x = 5,131.40 × 1,570.69
  4. Step 4: Simplify right side
    3,419.77x = 8,059,838.67
  5. Step 5: Solve for x
    x = 8,059,838.67/3,419.77
  6. Step 6: Final answer
    x = 2,356.84

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