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Finding the Fourth Proportional to 5,148.86, 7,106.45 and 2,910.74

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Solution

The fourth proportional to 5,148.86, 7,106.45 and 2,910.74 is: 4,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.86 : 7,106.45 = 2,910.74 : x
  2. Step 2: Convert to fraction form
    5,148.86/7,106.45 = 2,910.74/x
  3. Step 3: Cross multiply
    5,148.86x = 7,106.45 × 2,910.74
  4. Step 4: Simplify right side
    5,148.86x = 20,684,978.19
  5. Step 5: Solve for x
    x = 20,684,978.19/5,148.86
  6. Step 6: Final answer
    x = 4,017.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.