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Finding the Fourth Proportional to 4,124.61, 6,186.74 and 1,658.75

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Solution

The fourth proportional to 4,124.61, 6,186.74 and 1,658.75 is: 2,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.61 : 6,186.74 = 1,658.75 : x
  2. Step 2: Convert to fraction form
    4,124.61/6,186.74 = 1,658.75/x
  3. Step 3: Cross multiply
    4,124.61x = 6,186.74 × 1,658.75
  4. Step 4: Simplify right side
    4,124.61x = 10,262,215.75
  5. Step 5: Solve for x
    x = 10,262,215.75/4,124.61
  6. Step 6: Final answer
    x = 2,488.05

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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.