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Finding the Fourth Proportional to 3,582.96, 4,946.76 and 2,463.54

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Solution

The fourth proportional to 3,582.96, 4,946.76 and 2,463.54 is: 3,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.96 : 4,946.76 = 2,463.54 : x
  2. Step 2: Convert to fraction form
    3,582.96/4,946.76 = 2,463.54/x
  3. Step 3: Cross multiply
    3,582.96x = 4,946.76 × 2,463.54
  4. Step 4: Simplify right side
    3,582.96x = 12,186,541.13
  5. Step 5: Solve for x
    x = 12,186,541.13/3,582.96
  6. Step 6: Final answer
    x = 3,401.25

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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.