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Finding the Fourth Proportional to 3,547.16, 4,917.41 and 3,359.80

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Solution

The fourth proportional to 3,547.16, 4,917.41 and 3,359.80 is: 4,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.16 : 4,917.41 = 3,359.80 : x
  2. Step 2: Convert to fraction form
    3,547.16/4,917.41 = 3,359.80/x
  3. Step 3: Cross multiply
    3,547.16x = 4,917.41 × 3,359.80
  4. Step 4: Simplify right side
    3,547.16x = 16,521,514.12
  5. Step 5: Solve for x
    x = 16,521,514.12/3,547.16
  6. Step 6: Final answer
    x = 4,657.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.