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Finding the Fourth Proportional to 5,330.86, 7,989.30 and 2,368.30

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Solution

The fourth proportional to 5,330.86, 7,989.30 and 2,368.30 is: 3,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.86 : 7,989.30 = 2,368.30 : x
  2. Step 2: Convert to fraction form
    5,330.86/7,989.30 = 2,368.30/x
  3. Step 3: Cross multiply
    5,330.86x = 7,989.30 × 2,368.30
  4. Step 4: Simplify right side
    5,330.86x = 18,921,059.19
  5. Step 5: Solve for x
    x = 18,921,059.19/5,330.86
  6. Step 6: Final answer
    x = 3,549.34

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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.