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Finding the Fourth Proportional to 3,494.69, 5,243.00 and 1,547.36

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Solution

The fourth proportional to 3,494.69, 5,243.00 and 1,547.36 is: 2,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.69 : 5,243.00 = 1,547.36 : x
  2. Step 2: Convert to fraction form
    3,494.69/5,243.00 = 1,547.36/x
  3. Step 3: Cross multiply
    3,494.69x = 5,243.00 × 1,547.36
  4. Step 4: Simplify right side
    3,494.69x = 8,112,774.53
  5. Step 5: Solve for x
    x = 8,112,774.53/3,494.69
  6. Step 6: Final answer
    x = 2,321.46

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1.5x scale

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.