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Finding the Fourth Proportional to 4,803.61, 7,199.16 and 2,461.63

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Solution

The fourth proportional to 4,803.61, 7,199.16 and 2,461.63 is: 3,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.61 : 7,199.16 = 2,461.63 : x
  2. Step 2: Convert to fraction form
    4,803.61/7,199.16 = 2,461.63/x
  3. Step 3: Cross multiply
    4,803.61x = 7,199.16 × 2,461.63
  4. Step 4: Simplify right side
    4,803.61x = 17,721,668.23
  5. Step 5: Solve for x
    x = 17,721,668.23/4,803.61
  6. Step 6: Final answer
    x = 3,689.24

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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.