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Finding the Fourth Proportional to 4,602.89, 6,352.02 and 2,558.72

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Solution

The fourth proportional to 4,602.89, 6,352.02 and 2,558.72 is: 3,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.89 : 6,352.02 = 2,558.72 : x
  2. Step 2: Convert to fraction form
    4,602.89/6,352.02 = 2,558.72/x
  3. Step 3: Cross multiply
    4,602.89x = 6,352.02 × 2,558.72
  4. Step 4: Simplify right side
    4,602.89x = 16,253,056.49
  5. Step 5: Solve for x
    x = 16,253,056.49/4,602.89
  6. Step 6: Final answer
    x = 3,531.05

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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.