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Finding the Fourth Proportional to 6,572.55, 9,852.98 and 2,411.60

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Solution

The fourth proportional to 6,572.55, 9,852.98 and 2,411.60 is: 3,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.55 : 9,852.98 = 2,411.60 : x
  2. Step 2: Convert to fraction form
    6,572.55/9,852.98 = 2,411.60/x
  3. Step 3: Cross multiply
    6,572.55x = 9,852.98 × 2,411.60
  4. Step 4: Simplify right side
    6,572.55x = 23,761,385.25
  5. Step 5: Solve for x
    x = 23,761,385.25/6,572.55
  6. Step 6: Final answer
    x = 3,615.25

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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.