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Finding the Fourth Proportional to 3,460.46, 4,774.65 and 3,341.90

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Solution

The fourth proportional to 3,460.46, 4,774.65 and 3,341.90 is: 4,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.46 : 4,774.65 = 3,341.90 : x
  2. Step 2: Convert to fraction form
    3,460.46/4,774.65 = 3,341.90/x
  3. Step 3: Cross multiply
    3,460.46x = 4,774.65 × 3,341.90
  4. Step 4: Simplify right side
    3,460.46x = 15,956,402.84
  5. Step 5: Solve for x
    x = 15,956,402.84/3,460.46
  6. Step 6: Final answer
    x = 4,611.06

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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.