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Finding the Fourth Proportional to 5,856.93, 8,784.03 and 1,695.83

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Solution

The fourth proportional to 5,856.93, 8,784.03 and 1,695.83 is: 2,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.93 : 8,784.03 = 1,695.83 : x
  2. Step 2: Convert to fraction form
    5,856.93/8,784.03 = 1,695.83/x
  3. Step 3: Cross multiply
    5,856.93x = 8,784.03 × 1,695.83
  4. Step 4: Simplify right side
    5,856.93x = 14,896,221.59
  5. Step 5: Solve for x
    x = 14,896,221.59/5,856.93
  6. Step 6: Final answer
    x = 2,543.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.