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Finding the Fourth Proportional to 4,050, 5,588.87 and 2,281.50

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Solution

The fourth proportional to 4,050, 5,588.87 and 2,281.50 is: 3,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050 : 5,588.87 = 2,281.50 : x
  2. Step 2: Convert to fraction form
    4,050/5,588.87 = 2,281.50/x
  3. Step 3: Cross multiply
    4,050x = 5,588.87 × 2,281.50
  4. Step 4: Simplify right side
    4,050x = 12,750,995.50
  5. Step 5: Solve for x
    x = 12,750,995.50/4,050
  6. Step 6: Final answer
    x = 3,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.