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Finding the Fourth Proportional to 4,580.96, 6,322.03 and 2,564.55

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Solution

The fourth proportional to 4,580.96, 6,322.03 and 2,564.55 is: 3,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.96 : 6,322.03 = 2,564.55 : x
  2. Step 2: Convert to fraction form
    4,580.96/6,322.03 = 2,564.55/x
  3. Step 3: Cross multiply
    4,580.96x = 6,322.03 × 2,564.55
  4. Step 4: Simplify right side
    4,580.96x = 16,213,155.63
  5. Step 5: Solve for x
    x = 16,213,155.63/4,580.96
  6. Step 6: Final answer
    x = 3,539.25

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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.