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Finding the Fourth Proportional to 3,547, 4,894.86 and 2,075

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Solution

The fourth proportional to 3,547, 4,894.86 and 2,075 is: 2,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547 : 4,894.86 = 2,075 : x
  2. Step 2: Convert to fraction form
    3,547/4,894.86 = 2,075/x
  3. Step 3: Cross multiply
    3,547x = 4,894.86 × 2,075
  4. Step 4: Simplify right side
    3,547x = 10,156,834.50
  5. Step 5: Solve for x
    x = 10,156,834.50/3,547
  6. Step 6: Final answer
    x = 2,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.