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Finding the Fourth Proportional to 5,655.16, 8,488.94 and 4,492.63

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Solution

The fourth proportional to 5,655.16, 8,488.94 and 4,492.63 is: 6,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.16 : 8,488.94 = 4,492.63 : x
  2. Step 2: Convert to fraction form
    5,655.16/8,488.94 = 4,492.63/x
  3. Step 3: Cross multiply
    5,655.16x = 8,488.94 × 4,492.63
  4. Step 4: Simplify right side
    5,655.16x = 38,137,692.57
  5. Step 5: Solve for x
    x = 38,137,692.57/5,655.16
  6. Step 6: Final answer
    x = 6,743.88

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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.