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Finding the Fourth Proportional to 3,484.60, 5,224.16 and 2,385.63

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Solution

The fourth proportional to 3,484.60, 5,224.16 and 2,385.63 is: 3,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.60 : 5,224.16 = 2,385.63 : x
  2. Step 2: Convert to fraction form
    3,484.60/5,224.16 = 2,385.63/x
  3. Step 3: Cross multiply
    3,484.60x = 5,224.16 × 2,385.63
  4. Step 4: Simplify right side
    3,484.60x = 12,462,900.89
  5. Step 5: Solve for x
    x = 12,462,900.89/3,484.60
  6. Step 6: Final answer
    x = 3,576.57

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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.