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Finding the Fourth Proportional to 4,692.26, 7,038.90 and 1,572.14

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Solution

The fourth proportional to 4,692.26, 7,038.90 and 1,572.14 is: 2,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.26 : 7,038.90 = 1,572.14 : x
  2. Step 2: Convert to fraction form
    4,692.26/7,038.90 = 1,572.14/x
  3. Step 3: Cross multiply
    4,692.26x = 7,038.90 × 1,572.14
  4. Step 4: Simplify right side
    4,692.26x = 11,066,153.84
  5. Step 5: Solve for x
    x = 11,066,153.84/4,692.26
  6. Step 6: Final answer
    x = 2,358.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.