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Finding the Fourth Proportional to 5,948.92, 8,916.93 and 3,870.41

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Solution

The fourth proportional to 5,948.92, 8,916.93 and 3,870.41 is: 5,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.92 : 8,916.93 = 3,870.41 : x
  2. Step 2: Convert to fraction form
    5,948.92/8,916.93 = 3,870.41/x
  3. Step 3: Cross multiply
    5,948.92x = 8,916.93 × 3,870.41
  4. Step 4: Simplify right side
    5,948.92x = 34,512,130.46
  5. Step 5: Solve for x
    x = 34,512,130.46/5,948.92
  6. Step 6: Final answer
    x = 5,801.41

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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.