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Finding the Fourth Proportional to 4,353.80, 6,530.67 and 1,580.45

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Solution

The fourth proportional to 4,353.80, 6,530.67 and 1,580.45 is: 2,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.80 : 6,530.67 = 1,580.45 : x
  2. Step 2: Convert to fraction form
    4,353.80/6,530.67 = 1,580.45/x
  3. Step 3: Cross multiply
    4,353.80x = 6,530.67 × 1,580.45
  4. Step 4: Simplify right side
    4,353.80x = 10,321,364.75
  5. Step 5: Solve for x
    x = 10,321,364.75/4,353.80
  6. Step 6: Final answer
    x = 2,370.66

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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.