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Finding the Fourth Proportional to 5,582.68, 8,373.99 and 1,422.67

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Solution

The fourth proportional to 5,582.68, 8,373.99 and 1,422.67 is: 2,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.68 : 8,373.99 = 1,422.67 : x
  2. Step 2: Convert to fraction form
    5,582.68/8,373.99 = 1,422.67/x
  3. Step 3: Cross multiply
    5,582.68x = 8,373.99 × 1,422.67
  4. Step 4: Simplify right side
    5,582.68x = 11,913,423.34
  5. Step 5: Solve for x
    x = 11,913,423.34/5,582.68
  6. Step 6: Final answer
    x = 2,134.00

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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.