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Finding the Fourth Proportional to 5,523.60, 8,276.94 and 4,648.80

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Solution

The fourth proportional to 5,523.60, 8,276.94 and 4,648.80 is: 6,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.60 : 8,276.94 = 4,648.80 : x
  2. Step 2: Convert to fraction form
    5,523.60/8,276.94 = 4,648.80/x
  3. Step 3: Cross multiply
    5,523.60x = 8,276.94 × 4,648.80
  4. Step 4: Simplify right side
    5,523.60x = 38,477,838.67
  5. Step 5: Solve for x
    x = 38,477,838.67/5,523.60
  6. Step 6: Final answer
    x = 6,966.08

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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.