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Finding the Fourth Proportional to 4,659.76, 6,430.60 and 2,564.02

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Solution

The fourth proportional to 4,659.76, 6,430.60 and 2,564.02 is: 3,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.76 : 6,430.60 = 2,564.02 : x
  2. Step 2: Convert to fraction form
    4,659.76/6,430.60 = 2,564.02/x
  3. Step 3: Cross multiply
    4,659.76x = 6,430.60 × 2,564.02
  4. Step 4: Simplify right side
    4,659.76x = 16,488,187.01
  5. Step 5: Solve for x
    x = 16,488,187.01/4,659.76
  6. Step 6: Final answer
    x = 3,538.42

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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.