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Finding the Fourth Proportional to 4,345.06, 6,516 and 1,571.07

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Solution

The fourth proportional to 4,345.06, 6,516 and 1,571.07 is: 2,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.06 : 6,516 = 1,571.07 : x
  2. Step 2: Convert to fraction form
    4,345.06/6,516 = 1,571.07/x
  3. Step 3: Cross multiply
    4,345.06x = 6,516 × 1,571.07
  4. Step 4: Simplify right side
    4,345.06x = 10,237,092.12
  5. Step 5: Solve for x
    x = 10,237,092.12/4,345.06
  6. Step 6: Final answer
    x = 2,356.03

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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.