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Finding the Fourth Proportional to 4,255.76, 6,389.68 and 2,410.50

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Solution

The fourth proportional to 4,255.76, 6,389.68 and 2,410.50 is: 3,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.76 : 6,389.68 = 2,410.50 : x
  2. Step 2: Convert to fraction form
    4,255.76/6,389.68 = 2,410.50/x
  3. Step 3: Cross multiply
    4,255.76x = 6,389.68 × 2,410.50
  4. Step 4: Simplify right side
    4,255.76x = 15,402,323.64
  5. Step 5: Solve for x
    x = 15,402,323.64/4,255.76
  6. Step 6: Final answer
    x = 3,619.17

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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.