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Finding the Fourth Proportional to 5,774.82, 8,602.64 and 5,416.26

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Solution

The fourth proportional to 5,774.82, 8,602.64 and 5,416.26 is: 8,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.82 : 8,602.64 = 5,416.26 : x
  2. Step 2: Convert to fraction form
    5,774.82/8,602.64 = 5,416.26/x
  3. Step 3: Cross multiply
    5,774.82x = 8,602.64 × 5,416.26
  4. Step 4: Simplify right side
    5,774.82x = 46,594,107.85
  5. Step 5: Solve for x
    x = 46,594,107.85/5,774.82
  6. Step 6: Final answer
    x = 8,068.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.