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Finding the Fourth Proportional to 4,897.88, 7,349.04 and 1,975.62

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Solution

The fourth proportional to 4,897.88, 7,349.04 and 1,975.62 is: 2,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.88 : 7,349.04 = 1,975.62 : x
  2. Step 2: Convert to fraction form
    4,897.88/7,349.04 = 1,975.62/x
  3. Step 3: Cross multiply
    4,897.88x = 7,349.04 × 1,975.62
  4. Step 4: Simplify right side
    4,897.88x = 14,518,910.40
  5. Step 5: Solve for x
    x = 14,518,910.40/4,897.88
  6. Step 6: Final answer
    x = 2,964.33

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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.