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Finding the Fourth Proportional to 7,598.88, 11,400.16 and 3,702.40

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Solution

The fourth proportional to 7,598.88, 11,400.16 and 3,702.40 is: 5,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.88 : 11,400.16 = 3,702.40 : x
  2. Step 2: Convert to fraction form
    7,598.88/11,400.16 = 3,702.40/x
  3. Step 3: Cross multiply
    7,598.88x = 11,400.16 × 3,702.40
  4. Step 4: Simplify right side
    7,598.88x = 42,207,952.38
  5. Step 5: Solve for x
    x = 42,207,952.38/7,598.88
  6. Step 6: Final answer
    x = 5,554.50

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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.