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Finding the Fourth Proportional to 4,619.08, 6,929.66 and 1,541

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Solution

The fourth proportional to 4,619.08, 6,929.66 and 1,541 is: 2,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.08 : 6,929.66 = 1,541 : x
  2. Step 2: Convert to fraction form
    4,619.08/6,929.66 = 1,541/x
  3. Step 3: Cross multiply
    4,619.08x = 6,929.66 × 1,541
  4. Step 4: Simplify right side
    4,619.08x = 10,678,606.06
  5. Step 5: Solve for x
    x = 10,678,606.06/4,619.08
  6. Step 6: Final answer
    x = 2,311.85

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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.