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Finding the Fourth Proportional to 6,221.51, 8,586.29 and 4,646.87

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Solution

The fourth proportional to 6,221.51, 8,586.29 and 4,646.87 is: 6,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.51 : 8,586.29 = 4,646.87 : x
  2. Step 2: Convert to fraction form
    6,221.51/8,586.29 = 4,646.87/x
  3. Step 3: Cross multiply
    6,221.51x = 8,586.29 × 4,646.87
  4. Step 4: Simplify right side
    6,221.51x = 39,899,373.41
  5. Step 5: Solve for x
    x = 39,899,373.41/6,221.51
  6. Step 6: Final answer
    x = 6,413.13

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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.