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Finding the Fourth Proportional to 4,692.62, 7,038.93 and 3,810.93

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Solution

The fourth proportional to 4,692.62, 7,038.93 and 3,810.93 is: 5,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.62 : 7,038.93 = 3,810.93 : x
  2. Step 2: Convert to fraction form
    4,692.62/7,038.93 = 3,810.93/x
  3. Step 3: Cross multiply
    4,692.62x = 7,038.93 × 3,810.93
  4. Step 4: Simplify right side
    4,692.62x = 26,824,869.50
  5. Step 5: Solve for x
    x = 26,824,869.50/4,692.62
  6. Step 6: Final answer
    x = 5,716.40

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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.