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Finding the Fourth Proportional to 6,259.84, 8,637.06 and 3,607

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Solution

The fourth proportional to 6,259.84, 8,637.06 and 3,607 is: 4,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.84 : 8,637.06 = 3,607 : x
  2. Step 2: Convert to fraction form
    6,259.84/8,637.06 = 3,607/x
  3. Step 3: Cross multiply
    6,259.84x = 8,637.06 × 3,607
  4. Step 4: Simplify right side
    6,259.84x = 31,153,875.42
  5. Step 5: Solve for x
    x = 31,153,875.42/6,259.84
  6. Step 6: Final answer
    x = 4,976.78

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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.