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Finding the Fourth Proportional to 4,712.86, 7,064.38 and 1,591.80

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Solution

The fourth proportional to 4,712.86, 7,064.38 and 1,591.80 is: 2,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.86 : 7,064.38 = 1,591.80 : x
  2. Step 2: Convert to fraction form
    4,712.86/7,064.38 = 1,591.80/x
  3. Step 3: Cross multiply
    4,712.86x = 7,064.38 × 1,591.80
  4. Step 4: Simplify right side
    4,712.86x = 11,245,055.58
  5. Step 5: Solve for x
    x = 11,245,055.58/4,712.86
  6. Step 6: Final answer
    x = 2,386.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.