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Finding the Fourth Proportional to 5,886.90, 8,123.86 and 3,498.04

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Solution

The fourth proportional to 5,886.90, 8,123.86 and 3,498.04 is: 4,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.90 : 8,123.86 = 3,498.04 : x
  2. Step 2: Convert to fraction form
    5,886.90/8,123.86 = 3,498.04/x
  3. Step 3: Cross multiply
    5,886.90x = 8,123.86 × 3,498.04
  4. Step 4: Simplify right side
    5,886.90x = 28,417,587.23
  5. Step 5: Solve for x
    x = 28,417,587.23/5,886.90
  6. Step 6: Final answer
    x = 4,827.26

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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.