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Finding the Fourth Proportional to 6,264.08, 8,644.68 and 3,470

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Solution

The fourth proportional to 6,264.08, 8,644.68 and 3,470 is: 4,788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.08 : 8,644.68 = 3,470 : x
  2. Step 2: Convert to fraction form
    6,264.08/8,644.68 = 3,470/x
  3. Step 3: Cross multiply
    6,264.08x = 8,644.68 × 3,470
  4. Step 4: Simplify right side
    6,264.08x = 29,997,039.60
  5. Step 5: Solve for x
    x = 29,997,039.60/6,264.08
  6. Step 6: Final answer
    x = 4,788.74

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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.