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Finding the Fourth Proportional to 4,909.42, 6,774.94 and 3,656.08

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Solution

The fourth proportional to 4,909.42, 6,774.94 and 3,656.08 is: 5,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.42 : 6,774.94 = 3,656.08 : x
  2. Step 2: Convert to fraction form
    4,909.42/6,774.94 = 3,656.08/x
  3. Step 3: Cross multiply
    4,909.42x = 6,774.94 × 3,656.08
  4. Step 4: Simplify right side
    4,909.42x = 24,769,722.64
  5. Step 5: Solve for x
    x = 24,769,722.64/4,909.42
  6. Step 6: Final answer
    x = 5,045.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.