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Finding the Fourth Proportional to 3,346, 5,019.29 and 1,037.50

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Solution

The fourth proportional to 3,346, 5,019.29 and 1,037.50 is: 1,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346 : 5,019.29 = 1,037.50 : x
  2. Step 2: Convert to fraction form
    3,346/5,019.29 = 1,037.50/x
  3. Step 3: Cross multiply
    3,346x = 5,019.29 × 1,037.50
  4. Step 4: Simplify right side
    3,346x = 5,207,513.38
  5. Step 5: Solve for x
    x = 5,207,513.38/3,346
  6. Step 6: Final answer
    x = 1,556.34

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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.