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Finding the Fourth Proportional to 4,659.68, 6,430.50 and 2,563.88

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Solution

The fourth proportional to 4,659.68, 6,430.50 and 2,563.88 is: 3,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.68 : 6,430.50 = 2,563.88 : x
  2. Step 2: Convert to fraction form
    4,659.68/6,430.50 = 2,563.88/x
  3. Step 3: Cross multiply
    4,659.68x = 6,430.50 × 2,563.88
  4. Step 4: Simplify right side
    4,659.68x = 16,487,030.34
  5. Step 5: Solve for x
    x = 16,487,030.34/4,659.68
  6. Step 6: Final answer
    x = 3,538.23

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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.