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Finding the Fourth Proportional to 5,645.52, 8,457.72 and 5,035.44

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Solution

The fourth proportional to 5,645.52, 8,457.72 and 5,035.44 is: 7,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.52 : 8,457.72 = 5,035.44 : x
  2. Step 2: Convert to fraction form
    5,645.52/8,457.72 = 5,035.44/x
  3. Step 3: Cross multiply
    5,645.52x = 8,457.72 × 5,035.44
  4. Step 4: Simplify right side
    5,645.52x = 42,588,341.60
  5. Step 5: Solve for x
    x = 42,588,341.60/5,645.52
  6. Step 6: Final answer
    x = 7,543.74

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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.