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Finding the Fourth Proportional to 5,769.95, 8,656.54 and 1,875.47

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Solution

The fourth proportional to 5,769.95, 8,656.54 and 1,875.47 is: 2,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.95 : 8,656.54 = 1,875.47 : x
  2. Step 2: Convert to fraction form
    5,769.95/8,656.54 = 1,875.47/x
  3. Step 3: Cross multiply
    5,769.95x = 8,656.54 × 1,875.47
  4. Step 4: Simplify right side
    5,769.95x = 16,235,033.10
  5. Step 5: Solve for x
    x = 16,235,033.10/5,769.95
  6. Step 6: Final answer
    x = 2,813.72

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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.