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Finding the Fourth Proportional to 5,952.48, 8,220.84 and 4,641.84

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Solution

The fourth proportional to 5,952.48, 8,220.84 and 4,641.84 is: 6,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.48 : 8,220.84 = 4,641.84 : x
  2. Step 2: Convert to fraction form
    5,952.48/8,220.84 = 4,641.84/x
  3. Step 3: Cross multiply
    5,952.48x = 8,220.84 × 4,641.84
  4. Step 4: Simplify right side
    5,952.48x = 38,159,823.95
  5. Step 5: Solve for x
    x = 38,159,823.95/5,952.48
  6. Step 6: Final answer
    x = 6,410.74

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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.