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Finding the Fourth Proportional to 5,683.97, 8,528 and 2,911.95

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Solution

The fourth proportional to 5,683.97, 8,528 and 2,911.95 is: 4,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.97 : 8,528 = 2,911.95 : x
  2. Step 2: Convert to fraction form
    5,683.97/8,528 = 2,911.95/x
  3. Step 3: Cross multiply
    5,683.97x = 8,528 × 2,911.95
  4. Step 4: Simplify right side
    5,683.97x = 24,833,066.96
  5. Step 5: Solve for x
    x = 24,833,066.96/5,683.97
  6. Step 6: Final answer
    x = 4,368.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.