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Finding the Fourth Proportional to 5,637.65, 7,772.49 and 4,145.63

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Solution

The fourth proportional to 5,637.65, 7,772.49 and 4,145.63 is: 5,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.65 : 7,772.49 = 4,145.63 : x
  2. Step 2: Convert to fraction form
    5,637.65/7,772.49 = 4,145.63/x
  3. Step 3: Cross multiply
    5,637.65x = 7,772.49 × 4,145.63
  4. Step 4: Simplify right side
    5,637.65x = 32,221,828.86
  5. Step 5: Solve for x
    x = 32,221,828.86/5,637.65
  6. Step 6: Final answer
    x = 5,715.48

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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.