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Finding the Fourth Proportional to 3,508.14, 5,259.44 and 1,316.63

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Solution

The fourth proportional to 3,508.14, 5,259.44 and 1,316.63 is: 1,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.14 : 5,259.44 = 1,316.63 : x
  2. Step 2: Convert to fraction form
    3,508.14/5,259.44 = 1,316.63/x
  3. Step 3: Cross multiply
    3,508.14x = 5,259.44 × 1,316.63
  4. Step 4: Simplify right side
    3,508.14x = 6,924,703.61
  5. Step 5: Solve for x
    x = 6,924,703.61/3,508.14
  6. Step 6: Final answer
    x = 1,973.90

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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.