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Finding the Fourth Proportional to 4,692.08, 7,038.12 and 1,405.52

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Solution

The fourth proportional to 4,692.08, 7,038.12 and 1,405.52 is: 2,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.08 : 7,038.12 = 1,405.52 : x
  2. Step 2: Convert to fraction form
    4,692.08/7,038.12 = 1,405.52/x
  3. Step 3: Cross multiply
    4,692.08x = 7,038.12 × 1,405.52
  4. Step 4: Simplify right side
    4,692.08x = 9,892,218.42
  5. Step 5: Solve for x
    x = 9,892,218.42/4,692.08
  6. Step 6: Final answer
    x = 2,108.28

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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.