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Finding the Fourth Proportional to 5,354.49, 8,031.06 and 1,656.44

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Solution

The fourth proportional to 5,354.49, 8,031.06 and 1,656.44 is: 2,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.49 : 8,031.06 = 1,656.44 : x
  2. Step 2: Convert to fraction form
    5,354.49/8,031.06 = 1,656.44/x
  3. Step 3: Cross multiply
    5,354.49x = 8,031.06 × 1,656.44
  4. Step 4: Simplify right side
    5,354.49x = 13,302,969.03
  5. Step 5: Solve for x
    x = 13,302,969.03/5,354.49
  6. Step 6: Final answer
    x = 2,484.45

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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.