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Finding the Fourth Proportional to 5,770.50, 8,655.75 and 1,875.18

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Solution

The fourth proportional to 5,770.50, 8,655.75 and 1,875.18 is: 2,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.50 : 8,655.75 = 1,875.18 : x
  2. Step 2: Convert to fraction form
    5,770.50/8,655.75 = 1,875.18/x
  3. Step 3: Cross multiply
    5,770.50x = 8,655.75 × 1,875.18
  4. Step 4: Simplify right side
    5,770.50x = 16,231,089.29
  5. Step 5: Solve for x
    x = 16,231,089.29/5,770.50
  6. Step 6: Final answer
    x = 2,812.77

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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.