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Finding the Fourth Proportional to 4,646.46, 6,412.05 and 2,878.50

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Solution

The fourth proportional to 4,646.46, 6,412.05 and 2,878.50 is: 3,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.46 : 6,412.05 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    4,646.46/6,412.05 = 2,878.50/x
  3. Step 3: Cross multiply
    4,646.46x = 6,412.05 × 2,878.50
  4. Step 4: Simplify right side
    4,646.46x = 18,457,085.93
  5. Step 5: Solve for x
    x = 18,457,085.93/4,646.46
  6. Step 6: Final answer
    x = 3,972.29

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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.