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Finding the Fourth Proportional to 4,702.22, 7,053.93 and 1,580.88

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Solution

The fourth proportional to 4,702.22, 7,053.93 and 1,580.88 is: 2,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.22 : 7,053.93 = 1,580.88 : x
  2. Step 2: Convert to fraction form
    4,702.22/7,053.93 = 1,580.88/x
  3. Step 3: Cross multiply
    4,702.22x = 7,053.93 × 1,580.88
  4. Step 4: Simplify right side
    4,702.22x = 11,151,416.86
  5. Step 5: Solve for x
    x = 11,151,416.86/4,702.22
  6. Step 6: Final answer
    x = 2,371.52

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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.