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Finding the Fourth Proportional to 5,808.60, 8,705.60 and 5,342.04

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Solution

The fourth proportional to 5,808.60, 8,705.60 and 5,342.04 is: 8,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.60 : 8,705.60 = 5,342.04 : x
  2. Step 2: Convert to fraction form
    5,808.60/8,705.60 = 5,342.04/x
  3. Step 3: Cross multiply
    5,808.60x = 8,705.60 × 5,342.04
  4. Step 4: Simplify right side
    5,808.60x = 46,505,663.42
  5. Step 5: Solve for x
    x = 46,505,663.42/5,808.60
  6. Step 6: Final answer
    x = 8,006.35

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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.