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Finding the Fourth Proportional to 4,970.99, 7,460.13 and 2,783.99

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Solution

The fourth proportional to 4,970.99, 7,460.13 and 2,783.99 is: 4,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.99 : 7,460.13 = 2,783.99 : x
  2. Step 2: Convert to fraction form
    4,970.99/7,460.13 = 2,783.99/x
  3. Step 3: Cross multiply
    4,970.99x = 7,460.13 × 2,783.99
  4. Step 4: Simplify right side
    4,970.99x = 20,768,927.32
  5. Step 5: Solve for x
    x = 20,768,927.32/4,970.99
  6. Step 6: Final answer
    x = 4,178.03

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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.