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Finding the Fourth Proportional to 4,552.80, 6,823.80 and 4,088.40

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Solution

The fourth proportional to 4,552.80, 6,823.80 and 4,088.40 is: 6,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.80 : 6,823.80 = 4,088.40 : x
  2. Step 2: Convert to fraction form
    4,552.80/6,823.80 = 4,088.40/x
  3. Step 3: Cross multiply
    4,552.80x = 6,823.80 × 4,088.40
  4. Step 4: Simplify right side
    4,552.80x = 27,898,423.92
  5. Step 5: Solve for x
    x = 27,898,423.92/4,552.80
  6. Step 6: Final answer
    x = 6,127.75

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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.