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Finding the Fourth Proportional to 4,578.48, 6,865.32 and 1,457.52

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Solution

The fourth proportional to 4,578.48, 6,865.32 and 1,457.52 is: 2,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.48 : 6,865.32 = 1,457.52 : x
  2. Step 2: Convert to fraction form
    4,578.48/6,865.32 = 1,457.52/x
  3. Step 3: Cross multiply
    4,578.48x = 6,865.32 × 1,457.52
  4. Step 4: Simplify right side
    4,578.48x = 10,006,341.21
  5. Step 5: Solve for x
    x = 10,006,341.21/4,578.48
  6. Step 6: Final answer
    x = 2,185.52

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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.