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Finding the Fourth Proportional to 5,347.40, 8,019.02 and 3,698.96

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Solution

The fourth proportional to 5,347.40, 8,019.02 and 3,698.96 is: 5,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.40 : 8,019.02 = 3,698.96 : x
  2. Step 2: Convert to fraction form
    5,347.40/8,019.02 = 3,698.96/x
  3. Step 3: Cross multiply
    5,347.40x = 8,019.02 × 3,698.96
  4. Step 4: Simplify right side
    5,347.40x = 29,661,975.63
  5. Step 5: Solve for x
    x = 29,661,975.63/5,347.40
  6. Step 6: Final answer
    x = 5,547.00

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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.