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Finding the Fourth Proportional to 5,916.28, 8,871.36 and 4,802.71

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Solution

The fourth proportional to 5,916.28, 8,871.36 and 4,802.71 is: 7,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.28 : 8,871.36 = 4,802.71 : x
  2. Step 2: Convert to fraction form
    5,916.28/8,871.36 = 4,802.71/x
  3. Step 3: Cross multiply
    5,916.28x = 8,871.36 × 4,802.71
  4. Step 4: Simplify right side
    5,916.28x = 42,606,569.39
  5. Step 5: Solve for x
    x = 42,606,569.39/5,916.28
  6. Step 6: Final answer
    x = 7,201.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.