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Finding the Fourth Proportional to 5,280.94, 7,922 and 2,358.87

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Solution

The fourth proportional to 5,280.94, 7,922 and 2,358.87 is: 3,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.94 : 7,922 = 2,358.87 : x
  2. Step 2: Convert to fraction form
    5,280.94/7,922 = 2,358.87/x
  3. Step 3: Cross multiply
    5,280.94x = 7,922 × 2,358.87
  4. Step 4: Simplify right side
    5,280.94x = 18,686,968.14
  5. Step 5: Solve for x
    x = 18,686,968.14/5,280.94
  6. Step 6: Final answer
    x = 3,538.57

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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.