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Finding the Fourth Proportional to 5,360.69, 8,041.10 and 1,465.10

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Solution

The fourth proportional to 5,360.69, 8,041.10 and 1,465.10 is: 2,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.69 : 8,041.10 = 1,465.10 : x
  2. Step 2: Convert to fraction form
    5,360.69/8,041.10 = 1,465.10/x
  3. Step 3: Cross multiply
    5,360.69x = 8,041.10 × 1,465.10
  4. Step 4: Simplify right side
    5,360.69x = 11,781,015.61
  5. Step 5: Solve for x
    x = 11,781,015.61/5,360.69
  6. Step 6: Final answer
    x = 2,197.67

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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.