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Finding the Fourth Proportional to 5,319.60, 7,980.17 and 1,809.93

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Solution

The fourth proportional to 5,319.60, 7,980.17 and 1,809.93 is: 2,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.60 : 7,980.17 = 1,809.93 : x
  2. Step 2: Convert to fraction form
    5,319.60/7,980.17 = 1,809.93/x
  3. Step 3: Cross multiply
    5,319.60x = 7,980.17 × 1,809.93
  4. Step 4: Simplify right side
    5,319.60x = 14,443,540.04
  5. Step 5: Solve for x
    x = 14,443,540.04/5,319.60
  6. Step 6: Final answer
    x = 2,715.16

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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.