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Finding the Fourth Proportional to 3,702.64, 5,547.54 and 2,601.84

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Solution

The fourth proportional to 3,702.64, 5,547.54 and 2,601.84 is: 3,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.64 : 5,547.54 = 2,601.84 : x
  2. Step 2: Convert to fraction form
    3,702.64/5,547.54 = 2,601.84/x
  3. Step 3: Cross multiply
    3,702.64x = 5,547.54 × 2,601.84
  4. Step 4: Simplify right side
    3,702.64x = 14,433,811.47
  5. Step 5: Solve for x
    x = 14,433,811.47/3,702.64
  6. Step 6: Final answer
    x = 3,898.25

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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.