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Finding the Fourth Proportional to 3,780.96, 5,671.08 and 1,315.68

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Solution

The fourth proportional to 3,780.96, 5,671.08 and 1,315.68 is: 1,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.96 : 5,671.08 = 1,315.68 : x
  2. Step 2: Convert to fraction form
    3,780.96/5,671.08 = 1,315.68/x
  3. Step 3: Cross multiply
    3,780.96x = 5,671.08 × 1,315.68
  4. Step 4: Simplify right side
    3,780.96x = 7,461,326.53
  5. Step 5: Solve for x
    x = 7,461,326.53/3,780.96
  6. Step 6: Final answer
    x = 1,973.39

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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.