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Finding the Fourth Proportional to 4,012.50, 6,016.42 and 1,547

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Solution

The fourth proportional to 4,012.50, 6,016.42 and 1,547 is: 2,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.50 : 6,016.42 = 1,547 : x
  2. Step 2: Convert to fraction form
    4,012.50/6,016.42 = 1,547/x
  3. Step 3: Cross multiply
    4,012.50x = 6,016.42 × 1,547
  4. Step 4: Simplify right side
    4,012.50x = 9,307,401.74
  5. Step 5: Solve for x
    x = 9,307,401.74/4,012.50
  6. Step 6: Final answer
    x = 2,319.60

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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.