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Finding the Fourth Proportional to 5,602.82, 8,403.59 and 1,498.50

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Solution

The fourth proportional to 5,602.82, 8,403.59 and 1,498.50 is: 2,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.82 : 8,403.59 = 1,498.50 : x
  2. Step 2: Convert to fraction form
    5,602.82/8,403.59 = 1,498.50/x
  3. Step 3: Cross multiply
    5,602.82x = 8,403.59 × 1,498.50
  4. Step 4: Simplify right side
    5,602.82x = 12,592,779.62
  5. Step 5: Solve for x
    x = 12,592,779.62/5,602.82
  6. Step 6: Final answer
    x = 2,247.58

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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.