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Finding the Fourth Proportional to 4,686.24, 7,027.25 and 1,762.47

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Solution

The fourth proportional to 4,686.24, 7,027.25 and 1,762.47 is: 2,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.24 : 7,027.25 = 1,762.47 : x
  2. Step 2: Convert to fraction form
    4,686.24/7,027.25 = 1,762.47/x
  3. Step 3: Cross multiply
    4,686.24x = 7,027.25 × 1,762.47
  4. Step 4: Simplify right side
    4,686.24x = 12,385,308.50
  5. Step 5: Solve for x
    x = 12,385,308.50/4,686.24
  6. Step 6: Final answer
    x = 2,642.91

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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.