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Finding the Fourth Proportional to 5,916.47, 8,875.98 and 1,968.93

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Solution

The fourth proportional to 5,916.47, 8,875.98 and 1,968.93 is: 2,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.47 : 8,875.98 = 1,968.93 : x
  2. Step 2: Convert to fraction form
    5,916.47/8,875.98 = 1,968.93/x
  3. Step 3: Cross multiply
    5,916.47x = 8,875.98 × 1,968.93
  4. Step 4: Simplify right side
    5,916.47x = 17,476,183.30
  5. Step 5: Solve for x
    x = 17,476,183.30/5,916.47
  6. Step 6: Final answer
    x = 2,953.82

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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.