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Finding the Fourth Proportional to 5,065.36, 7,597.90 and 1,602.52

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Solution

The fourth proportional to 5,065.36, 7,597.90 and 1,602.52 is: 2,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.36 : 7,597.90 = 1,602.52 : x
  2. Step 2: Convert to fraction form
    5,065.36/7,597.90 = 1,602.52/x
  3. Step 3: Cross multiply
    5,065.36x = 7,597.90 × 1,602.52
  4. Step 4: Simplify right side
    5,065.36x = 12,175,786.71
  5. Step 5: Solve for x
    x = 12,175,786.71/5,065.36
  6. Step 6: Final answer
    x = 2,403.74

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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.