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Finding the Fourth Proportional to 5,885.60, 8,828.40 and 3,695.87

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Solution

The fourth proportional to 5,885.60, 8,828.40 and 3,695.87 is: 5,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.60 : 8,828.40 = 3,695.87 : x
  2. Step 2: Convert to fraction form
    5,885.60/8,828.40 = 3,695.87/x
  3. Step 3: Cross multiply
    5,885.60x = 8,828.40 × 3,695.87
  4. Step 4: Simplify right side
    5,885.60x = 32,628,574.57
  5. Step 5: Solve for x
    x = 32,628,574.57/5,885.60
  6. Step 6: Final answer
    x = 5,543.80

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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.