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Finding the Fourth Proportional to 4,592.14, 6,888.15 and 1,129.42

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Solution

The fourth proportional to 4,592.14, 6,888.15 and 1,129.42 is: 1,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.14 : 6,888.15 = 1,129.42 : x
  2. Step 2: Convert to fraction form
    4,592.14/6,888.15 = 1,129.42/x
  3. Step 3: Cross multiply
    4,592.14x = 6,888.15 × 1,129.42
  4. Step 4: Simplify right side
    4,592.14x = 7,779,614.37
  5. Step 5: Solve for x
    x = 7,779,614.37/4,592.14
  6. Step 6: Final answer
    x = 1,694.12

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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.