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Finding the Fourth Proportional to 4,129.30, 5,788.70 and 4,129.30

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Solution

The fourth proportional to 4,129.30, 5,788.70 and 4,129.30 is: 5,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.30 : 5,788.70 = 4,129.30 : x
  2. Step 2: Convert to fraction form
    4,129.30/5,788.70 = 4,129.30/x
  3. Step 3: Cross multiply
    4,129.30x = 5,788.70 × 4,129.30
  4. Step 4: Simplify right side
    4,129.30x = 23,903,278.91
  5. Step 5: Solve for x
    x = 23,903,278.91/4,129.30
  6. Step 6: Final answer
    x = 5,788.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.