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Finding the Fourth Proportional to 3,527, 5,290.74 and 1,475

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Solution

The fourth proportional to 3,527, 5,290.74 and 1,475 is: 2,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527 : 5,290.74 = 1,475 : x
  2. Step 2: Convert to fraction form
    3,527/5,290.74 = 1,475/x
  3. Step 3: Cross multiply
    3,527x = 5,290.74 × 1,475
  4. Step 4: Simplify right side
    3,527x = 7,803,841.50
  5. Step 5: Solve for x
    x = 7,803,841.50/3,527
  6. Step 6: Final answer
    x = 2,212.60

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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.