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Finding the Fourth Proportional to 4,659.84, 6,430.48 and 2,563.92

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Solution

The fourth proportional to 4,659.84, 6,430.48 and 2,563.92 is: 3,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,430.48 = 2,563.92 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,430.48 = 2,563.92/x
  3. Step 3: Cross multiply
    4,659.84x = 6,430.48 × 2,563.92
  4. Step 4: Simplify right side
    4,659.84x = 16,487,236.28
  5. Step 5: Solve for x
    x = 16,487,236.28/4,659.84
  6. Step 6: Final answer
    x = 3,538.16

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