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Finding the Fourth Proportional to 4,811.60, 7,215.60 and 3,346.40

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Solution

The fourth proportional to 4,811.60, 7,215.60 and 3,346.40 is: 5,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.60 : 7,215.60 = 3,346.40 : x
  2. Step 2: Convert to fraction form
    4,811.60/7,215.60 = 3,346.40/x
  3. Step 3: Cross multiply
    4,811.60x = 7,215.60 × 3,346.40
  4. Step 4: Simplify right side
    4,811.60x = 24,146,283.84
  5. Step 5: Solve for x
    x = 24,146,283.84/4,811.60
  6. Step 6: Final answer
    x = 5,018.35

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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.