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Finding the Fourth Proportional to 5,357.22, 8,019.45 and 4,307.46

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Solution

The fourth proportional to 5,357.22, 8,019.45 and 4,307.46 is: 6,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.22 : 8,019.45 = 4,307.46 : x
  2. Step 2: Convert to fraction form
    5,357.22/8,019.45 = 4,307.46/x
  3. Step 3: Cross multiply
    5,357.22x = 8,019.45 × 4,307.46
  4. Step 4: Simplify right side
    5,357.22x = 34,543,460.10
  5. Step 5: Solve for x
    x = 34,543,460.10/5,357.22
  6. Step 6: Final answer
    x = 6,448.02

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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.