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Finding the Fourth Proportional to 5,003.76, 7,506.04 and 1,541

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Solution

The fourth proportional to 5,003.76, 7,506.04 and 1,541 is: 2,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.76 : 7,506.04 = 1,541 : x
  2. Step 2: Convert to fraction form
    5,003.76/7,506.04 = 1,541/x
  3. Step 3: Cross multiply
    5,003.76x = 7,506.04 × 1,541
  4. Step 4: Simplify right side
    5,003.76x = 11,566,807.64
  5. Step 5: Solve for x
    x = 11,566,807.64/5,003.76
  6. Step 6: Final answer
    x = 2,311.62

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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.