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Finding the Fourth Proportional to 4,270.68, 5,894.37 and 2,407.68

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Solution

The fourth proportional to 4,270.68, 5,894.37 and 2,407.68 is: 3,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.68 : 5,894.37 = 2,407.68 : x
  2. Step 2: Convert to fraction form
    4,270.68/5,894.37 = 2,407.68/x
  3. Step 3: Cross multiply
    4,270.68x = 5,894.37 × 2,407.68
  4. Step 4: Simplify right side
    4,270.68x = 14,191,756.76
  5. Step 5: Solve for x
    x = 14,191,756.76/4,270.68
  6. Step 6: Final answer
    x = 3,323.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.