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Finding the Fourth Proportional to 4,578.06, 6,312.15 and 4,024.02

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Solution

The fourth proportional to 4,578.06, 6,312.15 and 4,024.02 is: 5,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.06 : 6,312.15 = 4,024.02 : x
  2. Step 2: Convert to fraction form
    4,578.06/6,312.15 = 4,024.02/x
  3. Step 3: Cross multiply
    4,578.06x = 6,312.15 × 4,024.02
  4. Step 4: Simplify right side
    4,578.06x = 25,400,217.84
  5. Step 5: Solve for x
    x = 25,400,217.84/4,578.06
  6. Step 6: Final answer
    x = 5,548.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.