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Finding the Fourth Proportional to 5,572.84, 7,672.98 and 4,242.28

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Solution

The fourth proportional to 5,572.84, 7,672.98 and 4,242.28 is: 5,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.84 : 7,672.98 = 4,242.28 : x
  2. Step 2: Convert to fraction form
    5,572.84/7,672.98 = 4,242.28/x
  3. Step 3: Cross multiply
    5,572.84x = 7,672.98 × 4,242.28
  4. Step 4: Simplify right side
    5,572.84x = 32,550,929.59
  5. Step 5: Solve for x
    x = 32,550,929.59/5,572.84
  6. Step 6: Final answer
    x = 5,840.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.