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Finding the Fourth Proportional to 5,784.24, 8,678.76 and 2,496.72

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Solution

The fourth proportional to 5,784.24, 8,678.76 and 2,496.72 is: 3,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.24 : 8,678.76 = 2,496.72 : x
  2. Step 2: Convert to fraction form
    5,784.24/8,678.76 = 2,496.72/x
  3. Step 3: Cross multiply
    5,784.24x = 8,678.76 × 2,496.72
  4. Step 4: Simplify right side
    5,784.24x = 21,668,433.67
  5. Step 5: Solve for x
    x = 21,668,433.67/5,784.24
  6. Step 6: Final answer
    x = 3,746.12

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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.