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Finding the Fourth Proportional to 4,548.08, 6,819.10 and 1,775.02

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Solution

The fourth proportional to 4,548.08, 6,819.10 and 1,775.02 is: 2,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.08 : 6,819.10 = 1,775.02 : x
  2. Step 2: Convert to fraction form
    4,548.08/6,819.10 = 1,775.02/x
  3. Step 3: Cross multiply
    4,548.08x = 6,819.10 × 1,775.02
  4. Step 4: Simplify right side
    4,548.08x = 12,104,038.88
  5. Step 5: Solve for x
    x = 12,104,038.88/4,548.08
  6. Step 6: Final answer
    x = 2,661.35

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Why These Related Problems?

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