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Finding the Fourth Proportional to 4,605, 6,907.86 and 1,527

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Solution

The fourth proportional to 4,605, 6,907.86 and 1,527 is: 2,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605 : 6,907.86 = 1,527 : x
  2. Step 2: Convert to fraction form
    4,605/6,907.86 = 1,527/x
  3. Step 3: Cross multiply
    4,605x = 6,907.86 × 1,527
  4. Step 4: Simplify right side
    4,605x = 10,548,302.22
  5. Step 5: Solve for x
    x = 10,548,302.22/4,605
  6. Step 6: Final answer
    x = 2,290.62

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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.