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Finding the Fourth Proportional to 6,223.84, 8,587.35 and 3,534.44

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Solution

The fourth proportional to 6,223.84, 8,587.35 and 3,534.44 is: 4,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.84 : 8,587.35 = 3,534.44 : x
  2. Step 2: Convert to fraction form
    6,223.84/8,587.35 = 3,534.44/x
  3. Step 3: Cross multiply
    6,223.84x = 8,587.35 × 3,534.44
  4. Step 4: Simplify right side
    6,223.84x = 30,351,430.40
  5. Step 5: Solve for x
    x = 30,351,430.40/6,223.84
  6. Step 6: Final answer
    x = 4,876.64

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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.