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Finding the Fourth Proportional to 4,875.56, 7,311.86 and 4,095.80

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Solution

The fourth proportional to 4,875.56, 7,311.86 and 4,095.80 is: 6,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.56 : 7,311.86 = 4,095.80 : x
  2. Step 2: Convert to fraction form
    4,875.56/7,311.86 = 4,095.80/x
  3. Step 3: Cross multiply
    4,875.56x = 7,311.86 × 4,095.80
  4. Step 4: Simplify right side
    4,875.56x = 29,947,916.19
  5. Step 5: Solve for x
    x = 29,947,916.19/4,875.56
  6. Step 6: Final answer
    x = 6,142.46

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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.