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Finding the Fourth Proportional to 3,419.80, 5,126.78 and 1,570.28

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Solution

The fourth proportional to 3,419.80, 5,126.78 and 1,570.28 is: 2,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.80 : 5,126.78 = 1,570.28 : x
  2. Step 2: Convert to fraction form
    3,419.80/5,126.78 = 1,570.28/x
  3. Step 3: Cross multiply
    3,419.80x = 5,126.78 × 1,570.28
  4. Step 4: Simplify right side
    3,419.80x = 8,050,480.10
  5. Step 5: Solve for x
    x = 8,050,480.10/3,419.80
  6. Step 6: Final answer
    x = 2,354.08

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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.