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Finding the Fourth Proportional to 5,708.71, 7,875.79 and 3,583

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Solution

The fourth proportional to 5,708.71, 7,875.79 and 3,583 is: 4,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.71 : 7,875.79 = 3,583 : x
  2. Step 2: Convert to fraction form
    5,708.71/7,875.79 = 3,583/x
  3. Step 3: Cross multiply
    5,708.71x = 7,875.79 × 3,583
  4. Step 4: Simplify right side
    5,708.71x = 28,218,955.57
  5. Step 5: Solve for x
    x = 28,218,955.57/5,708.71
  6. Step 6: Final answer
    x = 4,943.14

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Why These Related Problems?

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