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Finding the Fourth Proportional to 5,064.59, 7,592.10 and 1,775.53

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Solution

The fourth proportional to 5,064.59, 7,592.10 and 1,775.53 is: 2,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.59 : 7,592.10 = 1,775.53 : x
  2. Step 2: Convert to fraction form
    5,064.59/7,592.10 = 1,775.53/x
  3. Step 3: Cross multiply
    5,064.59x = 7,592.10 × 1,775.53
  4. Step 4: Simplify right side
    5,064.59x = 13,480,004.14
  5. Step 5: Solve for x
    x = 13,480,004.14/5,064.59
  6. Step 6: Final answer
    x = 2,661.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.