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Finding the Fourth Proportional to 5,570.84, 7,670.22 and 4,240.28

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Solution

The fourth proportional to 5,570.84, 7,670.22 and 4,240.28 is: 5,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.84 : 7,670.22 = 4,240.28 : x
  2. Step 2: Convert to fraction form
    5,570.84/7,670.22 = 4,240.28/x
  3. Step 3: Cross multiply
    5,570.84x = 7,670.22 × 4,240.28
  4. Step 4: Simplify right side
    5,570.84x = 32,523,880.46
  5. Step 5: Solve for x
    x = 32,523,880.46/5,570.84
  6. Step 6: Final answer
    x = 5,838.24

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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.