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Finding the Fourth Proportional to 5,655.64, 8,484.98 and 2,367

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Solution

The fourth proportional to 5,655.64, 8,484.98 and 2,367 is: 3,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.64 : 8,484.98 = 2,367 : x
  2. Step 2: Convert to fraction form
    5,655.64/8,484.98 = 2,367/x
  3. Step 3: Cross multiply
    5,655.64x = 8,484.98 × 2,367
  4. Step 4: Simplify right side
    5,655.64x = 20,083,947.66
  5. Step 5: Solve for x
    x = 20,083,947.66/5,655.64
  6. Step 6: Final answer
    x = 3,551.14

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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.