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Finding the Fourth Proportional to 4,120.71, 5,681.07 and 3,409.93

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Solution

The fourth proportional to 4,120.71, 5,681.07 and 3,409.93 is: 4,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.71 : 5,681.07 = 3,409.93 : x
  2. Step 2: Convert to fraction form
    4,120.71/5,681.07 = 3,409.93/x
  3. Step 3: Cross multiply
    4,120.71x = 5,681.07 × 3,409.93
  4. Step 4: Simplify right side
    4,120.71x = 19,372,065.23
  5. Step 5: Solve for x
    x = 19,372,065.23/4,120.71
  6. Step 6: Final answer
    x = 4,701.15

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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.