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Finding the Fourth Proportional to 5,307.90, 7,322.86 and 3,419.33

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Solution

The fourth proportional to 5,307.90, 7,322.86 and 3,419.33 is: 4,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.90 : 7,322.86 = 3,419.33 : x
  2. Step 2: Convert to fraction form
    5,307.90/7,322.86 = 3,419.33/x
  3. Step 3: Cross multiply
    5,307.90x = 7,322.86 × 3,419.33
  4. Step 4: Simplify right side
    5,307.90x = 25,039,264.50
  5. Step 5: Solve for x
    x = 25,039,264.50/5,307.90
  6. Step 6: Final answer
    x = 4,717.36

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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.