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Finding the Fourth Proportional to 4,701.86, 6,486.21 and 3,646.61

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Solution

The fourth proportional to 4,701.86, 6,486.21 and 3,646.61 is: 5,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.86 : 6,486.21 = 3,646.61 : x
  2. Step 2: Convert to fraction form
    4,701.86/6,486.21 = 3,646.61/x
  3. Step 3: Cross multiply
    4,701.86x = 6,486.21 × 3,646.61
  4. Step 4: Simplify right side
    4,701.86x = 23,652,645.82
  5. Step 5: Solve for x
    x = 23,652,645.82/4,701.86
  6. Step 6: Final answer
    x = 5,030.49

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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.