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Finding the Fourth Proportional to 3,248.37, 4,484.70 and 3,109.05

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Solution

The fourth proportional to 3,248.37, 4,484.70 and 3,109.05 is: 4,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.37 : 4,484.70 = 3,109.05 : x
  2. Step 2: Convert to fraction form
    3,248.37/4,484.70 = 3,109.05/x
  3. Step 3: Cross multiply
    3,248.37x = 4,484.70 × 3,109.05
  4. Step 4: Simplify right side
    3,248.37x = 13,943,156.54
  5. Step 5: Solve for x
    x = 13,943,156.54/3,248.37
  6. Step 6: Final answer
    x = 4,292.35

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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.