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Finding the Fourth Proportional to 5,498.88, 8,248.32 and 1,603.60

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Solution

The fourth proportional to 5,498.88, 8,248.32 and 1,603.60 is: 2,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.88 : 8,248.32 = 1,603.60 : x
  2. Step 2: Convert to fraction form
    5,498.88/8,248.32 = 1,603.60/x
  3. Step 3: Cross multiply
    5,498.88x = 8,248.32 × 1,603.60
  4. Step 4: Simplify right side
    5,498.88x = 13,227,005.95
  5. Step 5: Solve for x
    x = 13,227,005.95/5,498.88
  6. Step 6: Final answer
    x = 2,405.40

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1.5x scale

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.