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Finding the Fourth Proportional to 3,472.86, 5,210.14 and 1,007.63

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Solution

The fourth proportional to 3,472.86, 5,210.14 and 1,007.63 is: 1,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.86 : 5,210.14 = 1,007.63 : x
  2. Step 2: Convert to fraction form
    3,472.86/5,210.14 = 1,007.63/x
  3. Step 3: Cross multiply
    3,472.86x = 5,210.14 × 1,007.63
  4. Step 4: Simplify right side
    3,472.86x = 5,249,893.37
  5. Step 5: Solve for x
    x = 5,249,893.37/3,472.86
  6. Step 6: Final answer
    x = 1,511.69

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1.5x scale

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.