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Finding the Fourth Proportional to 5,138.63, 7,095.60 and 3,465.57

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Solution

The fourth proportional to 5,138.63, 7,095.60 and 3,465.57 is: 4,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.63 : 7,095.60 = 3,465.57 : x
  2. Step 2: Convert to fraction form
    5,138.63/7,095.60 = 3,465.57/x
  3. Step 3: Cross multiply
    5,138.63x = 7,095.60 × 3,465.57
  4. Step 4: Simplify right side
    5,138.63x = 24,590,298.49
  5. Step 5: Solve for x
    x = 24,590,298.49/5,138.63
  6. Step 6: Final answer
    x = 4,785.38

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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.