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Finding the Fourth Proportional to 6,434.52, 8,880.06 and 3,602.16

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Solution

The fourth proportional to 6,434.52, 8,880.06 and 3,602.16 is: 4,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.52 : 8,880.06 = 3,602.16 : x
  2. Step 2: Convert to fraction form
    6,434.52/8,880.06 = 3,602.16/x
  3. Step 3: Cross multiply
    6,434.52x = 8,880.06 × 3,602.16
  4. Step 4: Simplify right side
    6,434.52x = 31,987,396.93
  5. Step 5: Solve for x
    x = 31,987,396.93/6,434.52
  6. Step 6: Final answer
    x = 4,971.22

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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.