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Finding the Fourth Proportional to 6,259.68, 8,638.45 and 3,465.18

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Solution

The fourth proportional to 6,259.68, 8,638.45 and 3,465.18 is: 4,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.68 : 8,638.45 = 3,465.18 : x
  2. Step 2: Convert to fraction form
    6,259.68/8,638.45 = 3,465.18/x
  3. Step 3: Cross multiply
    6,259.68x = 8,638.45 × 3,465.18
  4. Step 4: Simplify right side
    6,259.68x = 29,933,775.51
  5. Step 5: Solve for x
    x = 29,933,775.51/6,259.68
  6. Step 6: Final answer
    x = 4,782.00

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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.