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Finding the Fourth Proportional to 5,746.48, 8,618.00 and 2,048.22

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Solution

The fourth proportional to 5,746.48, 8,618.00 and 2,048.22 is: 3,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.48 : 8,618.00 = 2,048.22 : x
  2. Step 2: Convert to fraction form
    5,746.48/8,618.00 = 2,048.22/x
  3. Step 3: Cross multiply
    5,746.48x = 8,618.00 × 2,048.22
  4. Step 4: Simplify right side
    5,746.48x = 17,651,549.72
  5. Step 5: Solve for x
    x = 17,651,549.72/5,746.48
  6. Step 6: Final answer
    x = 3,071.72

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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.