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Finding the Fourth Proportional to 5,854.86, 8,079.74 and 3,302.64

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Solution

The fourth proportional to 5,854.86, 8,079.74 and 3,302.64 is: 4,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.86 : 8,079.74 = 3,302.64 : x
  2. Step 2: Convert to fraction form
    5,854.86/8,079.74 = 3,302.64/x
  3. Step 3: Cross multiply
    5,854.86x = 8,079.74 × 3,302.64
  4. Step 4: Simplify right side
    5,854.86x = 26,684,472.51
  5. Step 5: Solve for x
    x = 26,684,472.51/5,854.86
  6. Step 6: Final answer
    x = 4,557.66

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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.