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Finding the Fourth Proportional to 3,419.75, 5,130.99 and 1,473.32

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Solution

The fourth proportional to 3,419.75, 5,130.99 and 1,473.32 is: 2,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.75 : 5,130.99 = 1,473.32 : x
  2. Step 2: Convert to fraction form
    3,419.75/5,130.99 = 1,473.32/x
  3. Step 3: Cross multiply
    3,419.75x = 5,130.99 × 1,473.32
  4. Step 4: Simplify right side
    3,419.75x = 7,559,603.01
  5. Step 5: Solve for x
    x = 7,559,603.01/3,419.75
  6. Step 6: Final answer
    x = 2,210.57

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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.