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Finding the Fourth Proportional to 4,685.60, 7,026.60 and 1,762.32

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Solution

The fourth proportional to 4,685.60, 7,026.60 and 1,762.32 is: 2,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.60 : 7,026.60 = 1,762.32 : x
  2. Step 2: Convert to fraction form
    4,685.60/7,026.60 = 1,762.32/x
  3. Step 3: Cross multiply
    4,685.60x = 7,026.60 × 1,762.32
  4. Step 4: Simplify right side
    4,685.60x = 12,383,117.71
  5. Step 5: Solve for x
    x = 12,383,117.71/4,685.60
  6. Step 6: Final answer
    x = 2,642.80

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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.