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Finding the Fourth Proportional to 6,259, 8,637.68 and 3,464.52

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Solution

The fourth proportional to 6,259, 8,637.68 and 3,464.52 is: 4,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259 : 8,637.68 = 3,464.52 : x
  2. Step 2: Convert to fraction form
    6,259/8,637.68 = 3,464.52/x
  3. Step 3: Cross multiply
    6,259x = 8,637.68 × 3,464.52
  4. Step 4: Simplify right side
    6,259x = 29,925,415.11
  5. Step 5: Solve for x
    x = 29,925,415.11/6,259
  6. Step 6: Final answer
    x = 4,781.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.