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Finding the Fourth Proportional to 5,624.08, 8,435.76 and 1,728.16

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Solution

The fourth proportional to 5,624.08, 8,435.76 and 1,728.16 is: 2,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.08 : 8,435.76 = 1,728.16 : x
  2. Step 2: Convert to fraction form
    5,624.08/8,435.76 = 1,728.16/x
  3. Step 3: Cross multiply
    5,624.08x = 8,435.76 × 1,728.16
  4. Step 4: Simplify right side
    5,624.08x = 14,578,343.00
  5. Step 5: Solve for x
    x = 14,578,343.00/5,624.08
  6. Step 6: Final answer
    x = 2,592.13

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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.