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Finding the Fourth Proportional to 4,275.86, 6,410 and 2,302.56

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Solution

The fourth proportional to 4,275.86, 6,410 and 2,302.56 is: 3,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.86 : 6,410 = 2,302.56 : x
  2. Step 2: Convert to fraction form
    4,275.86/6,410 = 2,302.56/x
  3. Step 3: Cross multiply
    4,275.86x = 6,410 × 2,302.56
  4. Step 4: Simplify right side
    4,275.86x = 14,759,409.60
  5. Step 5: Solve for x
    x = 14,759,409.60/4,275.86
  6. Step 6: Final answer
    x = 3,451.80

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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.