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Finding the Fourth Proportional to 5,483.52, 8,225.72 and 1,785.66

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Solution

The fourth proportional to 5,483.52, 8,225.72 and 1,785.66 is: 2,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.52 : 8,225.72 = 1,785.66 : x
  2. Step 2: Convert to fraction form
    5,483.52/8,225.72 = 1,785.66/x
  3. Step 3: Cross multiply
    5,483.52x = 8,225.72 × 1,785.66
  4. Step 4: Simplify right side
    5,483.52x = 14,688,339.18
  5. Step 5: Solve for x
    x = 14,688,339.18/5,483.52
  6. Step 6: Final answer
    x = 2,678.63

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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.