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Finding the Fourth Proportional to 5,242.32, 7,864.56 and 1,780.56

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Solution

The fourth proportional to 5,242.32, 7,864.56 and 1,780.56 is: 2,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.32 : 7,864.56 = 1,780.56 : x
  2. Step 2: Convert to fraction form
    5,242.32/7,864.56 = 1,780.56/x
  3. Step 3: Cross multiply
    5,242.32x = 7,864.56 × 1,780.56
  4. Step 4: Simplify right side
    5,242.32x = 14,003,320.95
  5. Step 5: Solve for x
    x = 14,003,320.95/5,242.32
  6. Step 6: Final answer
    x = 2,671.21

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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.