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Finding the Fourth Proportional to 5,342.14, 8,001.50 and 4,407.16

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Solution

The fourth proportional to 5,342.14, 8,001.50 and 4,407.16 is: 6,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.14 : 8,001.50 = 4,407.16 : x
  2. Step 2: Convert to fraction form
    5,342.14/8,001.50 = 4,407.16/x
  3. Step 3: Cross multiply
    5,342.14x = 8,001.50 × 4,407.16
  4. Step 4: Simplify right side
    5,342.14x = 35,263,890.74
  5. Step 5: Solve for x
    x = 35,263,890.74/5,342.14
  6. Step 6: Final answer
    x = 6,601.08

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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.