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Finding the Fourth Proportional to 6,580.64, 9,077.04 and 3,926

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Solution

The fourth proportional to 6,580.64, 9,077.04 and 3,926 is: 5,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.64 : 9,077.04 = 3,926 : x
  2. Step 2: Convert to fraction form
    6,580.64/9,077.04 = 3,926/x
  3. Step 3: Cross multiply
    6,580.64x = 9,077.04 × 3,926
  4. Step 4: Simplify right side
    6,580.64x = 35,636,459.04
  5. Step 5: Solve for x
    x = 35,636,459.04/6,580.64
  6. Step 6: Final answer
    x = 5,415.35

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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.