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Finding the Fourth Proportional to 4,365.82, 6,024.27 and 2,477.58

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Solution

The fourth proportional to 4,365.82, 6,024.27 and 2,477.58 is: 3,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.82 : 6,024.27 = 2,477.58 : x
  2. Step 2: Convert to fraction form
    4,365.82/6,024.27 = 2,477.58/x
  3. Step 3: Cross multiply
    4,365.82x = 6,024.27 × 2,477.58
  4. Step 4: Simplify right side
    4,365.82x = 14,925,592.90
  5. Step 5: Solve for x
    x = 14,925,592.90/4,365.82
  6. Step 6: Final answer
    x = 3,418.74

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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.