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Finding the Fourth Proportional to 3,477.96, 4,800.35 and 2,402.74

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Solution

The fourth proportional to 3,477.96, 4,800.35 and 2,402.74 is: 3,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.96 : 4,800.35 = 2,402.74 : x
  2. Step 2: Convert to fraction form
    3,477.96/4,800.35 = 2,402.74/x
  3. Step 3: Cross multiply
    3,477.96x = 4,800.35 × 2,402.74
  4. Step 4: Simplify right side
    3,477.96x = 11,533,992.96
  5. Step 5: Solve for x
    x = 11,533,992.96/3,477.96
  6. Step 6: Final answer
    x = 3,316.31

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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.