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Finding the Fourth Proportional to 4,309.93, 6,470.16 and 2,851.93

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Solution

The fourth proportional to 4,309.93, 6,470.16 and 2,851.93 is: 4,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.93 : 6,470.16 = 2,851.93 : x
  2. Step 2: Convert to fraction form
    4,309.93/6,470.16 = 2,851.93/x
  3. Step 3: Cross multiply
    4,309.93x = 6,470.16 × 2,851.93
  4. Step 4: Simplify right side
    4,309.93x = 18,452,443.41
  5. Step 5: Solve for x
    x = 18,452,443.41/4,309.93
  6. Step 6: Final answer
    x = 4,281.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.