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Finding the Fourth Proportional to 5,886.16, 8,123.62 and 3,402.16

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Solution

The fourth proportional to 5,886.16, 8,123.62 and 3,402.16 is: 4,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.16 : 8,123.62 = 3,402.16 : x
  2. Step 2: Convert to fraction form
    5,886.16/8,123.62 = 3,402.16/x
  3. Step 3: Cross multiply
    5,886.16x = 8,123.62 × 3,402.16
  4. Step 4: Simplify right side
    5,886.16x = 27,637,855.02
  5. Step 5: Solve for x
    x = 27,637,855.02/5,886.16
  6. Step 6: Final answer
    x = 4,695.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.