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Finding the Fourth Proportional to 5,347.11, 8,019.91 and 1,649.06

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Solution

The fourth proportional to 5,347.11, 8,019.91 and 1,649.06 is: 2,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.11 : 8,019.91 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    5,347.11/8,019.91 = 1,649.06/x
  3. Step 3: Cross multiply
    5,347.11x = 8,019.91 × 1,649.06
  4. Step 4: Simplify right side
    5,347.11x = 13,225,304.82
  5. Step 5: Solve for x
    x = 13,225,304.82/5,347.11
  6. Step 6: Final answer
    x = 2,473.35

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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.