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Finding the Fourth Proportional to 5,783.09, 7,980.66 and 3,130.50

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Solution

The fourth proportional to 5,783.09, 7,980.66 and 3,130.50 is: 4,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.09 : 7,980.66 = 3,130.50 : x
  2. Step 2: Convert to fraction form
    5,783.09/7,980.66 = 3,130.50/x
  3. Step 3: Cross multiply
    5,783.09x = 7,980.66 × 3,130.50
  4. Step 4: Simplify right side
    5,783.09x = 24,983,456.13
  5. Step 5: Solve for x
    x = 24,983,456.13/5,783.09
  6. Step 6: Final answer
    x = 4,320.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.