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Finding the Fourth Proportional to 4,572.78, 6,852.98 and 2,102.16

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Solution

The fourth proportional to 4,572.78, 6,852.98 and 2,102.16 is: 3,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.78 : 6,852.98 = 2,102.16 : x
  2. Step 2: Convert to fraction form
    4,572.78/6,852.98 = 2,102.16/x
  3. Step 3: Cross multiply
    4,572.78x = 6,852.98 × 2,102.16
  4. Step 4: Simplify right side
    4,572.78x = 14,406,060.44
  5. Step 5: Solve for x
    x = 14,406,060.44/4,572.78
  6. Step 6: Final answer
    x = 3,150.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.