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Finding the Fourth Proportional to 5,645.76, 8,457.12 and 2,904

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Solution

The fourth proportional to 5,645.76, 8,457.12 and 2,904 is: 4,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.76 : 8,457.12 = 2,904 : x
  2. Step 2: Convert to fraction form
    5,645.76/8,457.12 = 2,904/x
  3. Step 3: Cross multiply
    5,645.76x = 8,457.12 × 2,904
  4. Step 4: Simplify right side
    5,645.76x = 24,559,476.48
  5. Step 5: Solve for x
    x = 24,559,476.48/5,645.76
  6. Step 6: Final answer
    x = 4,350.07

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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.