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Finding the Fourth Proportional to 6,259.41, 8,637.71 and 3,607.20

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Solution

The fourth proportional to 6,259.41, 8,637.71 and 3,607.20 is: 4,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.41 : 8,637.71 = 3,607.20 : x
  2. Step 2: Convert to fraction form
    6,259.41/8,637.71 = 3,607.20/x
  3. Step 3: Cross multiply
    6,259.41x = 8,637.71 × 3,607.20
  4. Step 4: Simplify right side
    6,259.41x = 31,157,929.48
  5. Step 5: Solve for x
    x = 31,157,929.48/6,259.41
  6. Step 6: Final answer
    x = 4,977.77

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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.