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Finding the Fourth Proportional to 4,130.52, 6,191.65 and 1,664.61

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Solution

The fourth proportional to 4,130.52, 6,191.65 and 1,664.61 is: 2,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.52 : 6,191.65 = 1,664.61 : x
  2. Step 2: Convert to fraction form
    4,130.52/6,191.65 = 1,664.61/x
  3. Step 3: Cross multiply
    4,130.52x = 6,191.65 × 1,664.61
  4. Step 4: Simplify right side
    4,130.52x = 10,306,682.51
  5. Step 5: Solve for x
    x = 10,306,682.51/4,130.52
  6. Step 6: Final answer
    x = 2,495.25

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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.