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Finding the Fourth Proportional to 5,770.69, 8,656.05 and 1,875.10

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Solution

The fourth proportional to 5,770.69, 8,656.05 and 1,875.10 is: 2,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.69 : 8,656.05 = 1,875.10 : x
  2. Step 2: Convert to fraction form
    5,770.69/8,656.05 = 1,875.10/x
  3. Step 3: Cross multiply
    5,770.69x = 8,656.05 × 1,875.10
  4. Step 4: Simplify right side
    5,770.69x = 16,230,959.36
  5. Step 5: Solve for x
    x = 16,230,959.36/5,770.69
  6. Step 6: Final answer
    x = 2,812.65

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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.