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Finding the Fourth Proportional to 3,543.59, 5,315.45 and 946.50

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Solution

The fourth proportional to 3,543.59, 5,315.45 and 946.50 is: 1,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.59 : 5,315.45 = 946.50 : x
  2. Step 2: Convert to fraction form
    3,543.59/5,315.45 = 946.50/x
  3. Step 3: Cross multiply
    3,543.59x = 5,315.45 × 946.50
  4. Step 4: Simplify right side
    3,543.59x = 5,031,068.69
  5. Step 5: Solve for x
    x = 5,031,068.69/3,543.59
  6. Step 6: Final answer
    x = 1,419.77

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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.