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Finding the Fourth Proportional to 4,702.68, 6,490.12 and 2,607.48

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Solution

The fourth proportional to 4,702.68, 6,490.12 and 2,607.48 is: 3,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.68 : 6,490.12 = 2,607.48 : x
  2. Step 2: Convert to fraction form
    4,702.68/6,490.12 = 2,607.48/x
  3. Step 3: Cross multiply
    4,702.68x = 6,490.12 × 2,607.48
  4. Step 4: Simplify right side
    4,702.68x = 16,922,858.10
  5. Step 5: Solve for x
    x = 16,922,858.10/4,702.68
  6. Step 6: Final answer
    x = 3,598.56

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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.