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Finding the Fourth Proportional to 5,962.60, 8,943.12 and 1,580.32

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Solution

The fourth proportional to 5,962.60, 8,943.12 and 1,580.32 is: 2,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.60 : 8,943.12 = 1,580.32 : x
  2. Step 2: Convert to fraction form
    5,962.60/8,943.12 = 1,580.32/x
  3. Step 3: Cross multiply
    5,962.60x = 8,943.12 × 1,580.32
  4. Step 4: Simplify right side
    5,962.60x = 14,132,991.40
  5. Step 5: Solve for x
    x = 14,132,991.40/5,962.60
  6. Step 6: Final answer
    x = 2,370.27

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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.