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Finding the Fourth Proportional to 4,886.63, 6,743.57 and 2,648.53

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Solution

The fourth proportional to 4,886.63, 6,743.57 and 2,648.53 is: 3,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.63 : 6,743.57 = 2,648.53 : x
  2. Step 2: Convert to fraction form
    4,886.63/6,743.57 = 2,648.53/x
  3. Step 3: Cross multiply
    4,886.63x = 6,743.57 × 2,648.53
  4. Step 4: Simplify right side
    4,886.63x = 17,860,547.45
  5. Step 5: Solve for x
    x = 17,860,547.45/4,886.63
  6. Step 6: Final answer
    x = 3,654.98

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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.