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Finding the Fourth Proportional to 3,756.96, 5,184 and 2,358.72

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Solution

The fourth proportional to 3,756.96, 5,184 and 2,358.72 is: 3,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.96 : 5,184 = 2,358.72 : x
  2. Step 2: Convert to fraction form
    3,756.96/5,184 = 2,358.72/x
  3. Step 3: Cross multiply
    3,756.96x = 5,184 × 2,358.72
  4. Step 4: Simplify right side
    3,756.96x = 12,227,604.48
  5. Step 5: Solve for x
    x = 12,227,604.48/3,756.96
  6. Step 6: Final answer
    x = 3,254.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.