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Finding the Fourth Proportional to 5,178.63, 7,804.39 and 4,685.70

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Solution

The fourth proportional to 5,178.63, 7,804.39 and 4,685.70 is: 7,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.63 : 7,804.39 = 4,685.70 : x
  2. Step 2: Convert to fraction form
    5,178.63/7,804.39 = 4,685.70/x
  3. Step 3: Cross multiply
    5,178.63x = 7,804.39 × 4,685.70
  4. Step 4: Simplify right side
    5,178.63x = 36,568,967.77
  5. Step 5: Solve for x
    x = 36,568,967.77/5,178.63
  6. Step 6: Final answer
    x = 7,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.