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Finding the Fourth Proportional to 6,520.60, 9,780.94 and 1,590.28

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Solution

The fourth proportional to 6,520.60, 9,780.94 and 1,590.28 is: 2,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.60 : 9,780.94 = 1,590.28 : x
  2. Step 2: Convert to fraction form
    6,520.60/9,780.94 = 1,590.28/x
  3. Step 3: Cross multiply
    6,520.60x = 9,780.94 × 1,590.28
  4. Step 4: Simplify right side
    6,520.60x = 15,554,433.26
  5. Step 5: Solve for x
    x = 15,554,433.26/6,520.60
  6. Step 6: Final answer
    x = 2,385.43

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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.