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Finding the Fourth Proportional to 4,673.50, 7,010.98 and 1,386.26

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Solution

The fourth proportional to 4,673.50, 7,010.98 and 1,386.26 is: 2,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.50 : 7,010.98 = 1,386.26 : x
  2. Step 2: Convert to fraction form
    4,673.50/7,010.98 = 1,386.26/x
  3. Step 3: Cross multiply
    4,673.50x = 7,010.98 × 1,386.26
  4. Step 4: Simplify right side
    4,673.50x = 9,719,041.13
  5. Step 5: Solve for x
    x = 9,719,041.13/4,673.50
  6. Step 6: Final answer
    x = 2,079.61

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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.