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Finding the Fourth Proportional to 4,690.41, 7,036.07 and 1,571.20

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Solution

The fourth proportional to 4,690.41, 7,036.07 and 1,571.20 is: 2,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.41 : 7,036.07 = 1,571.20 : x
  2. Step 2: Convert to fraction form
    4,690.41/7,036.07 = 1,571.20/x
  3. Step 3: Cross multiply
    4,690.41x = 7,036.07 × 1,571.20
  4. Step 4: Simplify right side
    4,690.41x = 11,055,047.74
  5. Step 5: Solve for x
    x = 11,055,047.74/4,690.41
  6. Step 6: Final answer
    x = 2,356.95

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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.