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Finding the Fourth Proportional to 4,652.63, 6,978.99 and 1,532.87

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Solution

The fourth proportional to 4,652.63, 6,978.99 and 1,532.87 is: 2,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.63 : 6,978.99 = 1,532.87 : x
  2. Step 2: Convert to fraction form
    4,652.63/6,978.99 = 1,532.87/x
  3. Step 3: Cross multiply
    4,652.63x = 6,978.99 × 1,532.87
  4. Step 4: Simplify right side
    4,652.63x = 10,697,849.51
  5. Step 5: Solve for x
    x = 10,697,849.51/4,652.63
  6. Step 6: Final answer
    x = 2,299.31

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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.