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Finding the Fourth Proportional to 3,541.04, 4,886.10 and 2,048.66

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Solution

The fourth proportional to 3,541.04, 4,886.10 and 2,048.66 is: 2,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.04 : 4,886.10 = 2,048.66 : x
  2. Step 2: Convert to fraction form
    3,541.04/4,886.10 = 2,048.66/x
  3. Step 3: Cross multiply
    3,541.04x = 4,886.10 × 2,048.66
  4. Step 4: Simplify right side
    3,541.04x = 10,009,957.63
  5. Step 5: Solve for x
    x = 10,009,957.63/3,541.04
  6. Step 6: Final answer
    x = 2,826.84

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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.