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Finding the Fourth Proportional to 4,692.59, 7,036.21 and 1,916.01

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Solution

The fourth proportional to 4,692.59, 7,036.21 and 1,916.01 is: 2,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.59 : 7,036.21 = 1,916.01 : x
  2. Step 2: Convert to fraction form
    4,692.59/7,036.21 = 1,916.01/x
  3. Step 3: Cross multiply
    4,692.59x = 7,036.21 × 1,916.01
  4. Step 4: Simplify right side
    4,692.59x = 13,481,448.72
  5. Step 5: Solve for x
    x = 13,481,448.72/4,692.59
  6. Step 6: Final answer
    x = 2,872.92

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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.