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Finding the Fourth Proportional to 4,358, 6,537 and 1,280

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Solution

The fourth proportional to 4,358, 6,537 and 1,280 is: 1,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358 : 6,537 = 1,280 : x
  2. Step 2: Convert to fraction form
    4,358/6,537 = 1,280/x
  3. Step 3: Cross multiply
    4,358x = 6,537 × 1,280
  4. Step 4: Simplify right side
    4,358x = 8,367,360
  5. Step 5: Solve for x
    x = 8,367,360/4,358
  6. Step 6: Final answer
    x = 1,920

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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.