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Finding the Fourth Proportional to 3,495, 5,242.62 and 1,186.68

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Solution

The fourth proportional to 3,495, 5,242.62 and 1,186.68 is: 1,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495 : 5,242.62 = 1,186.68 : x
  2. Step 2: Convert to fraction form
    3,495/5,242.62 = 1,186.68/x
  3. Step 3: Cross multiply
    3,495x = 5,242.62 × 1,186.68
  4. Step 4: Simplify right side
    3,495x = 6,221,312.30
  5. Step 5: Solve for x
    x = 6,221,312.30/3,495
  6. Step 6: Final answer
    x = 1,780.06

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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.