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Finding the Fourth Proportional to 5,735.47, 8,602.53 and 1,575.90

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Solution

The fourth proportional to 5,735.47, 8,602.53 and 1,575.90 is: 2,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.47 : 8,602.53 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    5,735.47/8,602.53 = 1,575.90/x
  3. Step 3: Cross multiply
    5,735.47x = 8,602.53 × 1,575.90
  4. Step 4: Simplify right side
    5,735.47x = 13,556,740.65
  5. Step 5: Solve for x
    x = 13,556,740.65/5,735.47
  6. Step 6: Final answer
    x = 2,363.67

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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.