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Finding the Fourth Proportional to 5,637.93, 7,780.10 and 3,120.14

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Solution

The fourth proportional to 5,637.93, 7,780.10 and 3,120.14 is: 4,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.93 : 7,780.10 = 3,120.14 : x
  2. Step 2: Convert to fraction form
    5,637.93/7,780.10 = 3,120.14/x
  3. Step 3: Cross multiply
    5,637.93x = 7,780.10 × 3,120.14
  4. Step 4: Simplify right side
    5,637.93x = 24,274,946.71
  5. Step 5: Solve for x
    x = 24,274,946.71/5,637.93
  6. Step 6: Final answer
    x = 4,305.65

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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.