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Finding the Fourth Proportional to 6,053.60, 8,354.94 and 5,658.32

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Solution

The fourth proportional to 6,053.60, 8,354.94 and 5,658.32 is: 7,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.60 : 8,354.94 = 5,658.32 : x
  2. Step 2: Convert to fraction form
    6,053.60/8,354.94 = 5,658.32/x
  3. Step 3: Cross multiply
    6,053.60x = 8,354.94 × 5,658.32
  4. Step 4: Simplify right side
    6,053.60x = 47,274,924.10
  5. Step 5: Solve for x
    x = 47,274,924.10/6,053.60
  6. Step 6: Final answer
    x = 7,809.39

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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.