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Finding the Fourth Proportional to 3,780.02, 5,210.64 and 2,657.90

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Solution

The fourth proportional to 3,780.02, 5,210.64 and 2,657.90 is: 3,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.02 : 5,210.64 = 2,657.90 : x
  2. Step 2: Convert to fraction form
    3,780.02/5,210.64 = 2,657.90/x
  3. Step 3: Cross multiply
    3,780.02x = 5,210.64 × 2,657.90
  4. Step 4: Simplify right side
    3,780.02x = 13,849,334.00
  5. Step 5: Solve for x
    x = 13,849,334.00/3,780.02
  6. Step 6: Final answer
    x = 3,663.83

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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.