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Finding the Fourth Proportional to 5,781.60, 8,676.96 and 2,970.32

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Solution

The fourth proportional to 5,781.60, 8,676.96 and 2,970.32 is: 4,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.60 : 8,676.96 = 2,970.32 : x
  2. Step 2: Convert to fraction form
    5,781.60/8,676.96 = 2,970.32/x
  3. Step 3: Cross multiply
    5,781.60x = 8,676.96 × 2,970.32
  4. Step 4: Simplify right side
    5,781.60x = 25,773,347.83
  5. Step 5: Solve for x
    x = 25,773,347.83/5,781.60
  6. Step 6: Final answer
    x = 4,457.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.