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Finding the Fourth Proportional to 4,684.70, 7,026.14 and 1,762.02

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Solution

The fourth proportional to 4,684.70, 7,026.14 and 1,762.02 is: 2,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.70 : 7,026.14 = 1,762.02 : x
  2. Step 2: Convert to fraction form
    4,684.70/7,026.14 = 1,762.02/x
  3. Step 3: Cross multiply
    4,684.70x = 7,026.14 × 1,762.02
  4. Step 4: Simplify right side
    4,684.70x = 12,380,203.61
  5. Step 5: Solve for x
    x = 12,380,203.61/4,684.70
  6. Step 6: Final answer
    x = 2,642.69

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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.