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Finding the Fourth Proportional to 5,533.59, 8,302.02 and 1,638.10

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Solution

The fourth proportional to 5,533.59, 8,302.02 and 1,638.10 is: 2,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.59 : 8,302.02 = 1,638.10 : x
  2. Step 2: Convert to fraction form
    5,533.59/8,302.02 = 1,638.10/x
  3. Step 3: Cross multiply
    5,533.59x = 8,302.02 × 1,638.10
  4. Step 4: Simplify right side
    5,533.59x = 13,599,543.20
  5. Step 5: Solve for x
    x = 13,599,543.20/5,533.59
  6. Step 6: Final answer
    x = 2,457.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.