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Finding the Fourth Proportional to 4,647.61, 6,416.18 and 3,583.04

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Solution

The fourth proportional to 4,647.61, 6,416.18 and 3,583.04 is: 4,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.61 : 6,416.18 = 3,583.04 : x
  2. Step 2: Convert to fraction form
    4,647.61/6,416.18 = 3,583.04/x
  3. Step 3: Cross multiply
    4,647.61x = 6,416.18 × 3,583.04
  4. Step 4: Simplify right side
    4,647.61x = 22,989,429.59
  5. Step 5: Solve for x
    x = 22,989,429.59/4,647.61
  6. Step 6: Final answer
    x = 4,946.51

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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.