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Finding the Fourth Proportional to 4,695.88, 6,480.52 and 2,600

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Solution

The fourth proportional to 4,695.88, 6,480.52 and 2,600 is: 3,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.88 : 6,480.52 = 2,600 : x
  2. Step 2: Convert to fraction form
    4,695.88/6,480.52 = 2,600/x
  3. Step 3: Cross multiply
    4,695.88x = 6,480.52 × 2,600
  4. Step 4: Simplify right side
    4,695.88x = 16,849,352
  5. Step 5: Solve for x
    x = 16,849,352/4,695.88
  6. Step 6: Final answer
    x = 3,588.11

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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.