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Finding the Fourth Proportional to 4,762.15, 6,574.23 and 2,970.20

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Solution

The fourth proportional to 4,762.15, 6,574.23 and 2,970.20 is: 4,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.15 : 6,574.23 = 2,970.20 : x
  2. Step 2: Convert to fraction form
    4,762.15/6,574.23 = 2,970.20/x
  3. Step 3: Cross multiply
    4,762.15x = 6,574.23 × 2,970.20
  4. Step 4: Simplify right side
    4,762.15x = 19,526,794.38
  5. Step 5: Solve for x
    x = 19,526,794.38/4,762.15
  6. Step 6: Final answer
    x = 4,100.42

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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.