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Finding the Fourth Proportional to 3,340.08, 5,006.07 and 1,584

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Solution

The fourth proportional to 3,340.08, 5,006.07 and 1,584 is: 2,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.08 : 5,006.07 = 1,584 : x
  2. Step 2: Convert to fraction form
    3,340.08/5,006.07 = 1,584/x
  3. Step 3: Cross multiply
    3,340.08x = 5,006.07 × 1,584
  4. Step 4: Simplify right side
    3,340.08x = 7,929,614.88
  5. Step 5: Solve for x
    x = 7,929,614.88/3,340.08
  6. Step 6: Final answer
    x = 2,374.08

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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.