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Finding the Fourth Proportional to 4,692.62, 7,036.76 and 1,405.04

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Solution

The fourth proportional to 4,692.62, 7,036.76 and 1,405.04 is: 2,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.62 : 7,036.76 = 1,405.04 : x
  2. Step 2: Convert to fraction form
    4,692.62/7,036.76 = 1,405.04/x
  3. Step 3: Cross multiply
    4,692.62x = 7,036.76 × 1,405.04
  4. Step 4: Simplify right side
    4,692.62x = 9,886,887.06
  5. Step 5: Solve for x
    x = 9,886,887.06/4,692.62
  6. Step 6: Final answer
    x = 2,106.90

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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.