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Finding the Fourth Proportional to 4,692.54, 7,038.83 and 1,406.13

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Solution

The fourth proportional to 4,692.54, 7,038.83 and 1,406.13 is: 2,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.54 : 7,038.83 = 1,406.13 : x
  2. Step 2: Convert to fraction form
    4,692.54/7,038.83 = 1,406.13/x
  3. Step 3: Cross multiply
    4,692.54x = 7,038.83 × 1,406.13
  4. Step 4: Simplify right side
    4,692.54x = 9,897,510.03
  5. Step 5: Solve for x
    x = 9,897,510.03/4,692.54
  6. Step 6: Final answer
    x = 2,109.20

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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.