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Finding the Fourth Proportional to 4,259.71, 6,389.75 and 1,486.66

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Solution

The fourth proportional to 4,259.71, 6,389.75 and 1,486.66 is: 2,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.71 : 6,389.75 = 1,486.66 : x
  2. Step 2: Convert to fraction form
    4,259.71/6,389.75 = 1,486.66/x
  3. Step 3: Cross multiply
    4,259.71x = 6,389.75 × 1,486.66
  4. Step 4: Simplify right side
    4,259.71x = 9,499,385.74
  5. Step 5: Solve for x
    x = 9,499,385.74/4,259.71
  6. Step 6: Final answer
    x = 2,230.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.