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Finding the Fourth Proportional to 4,854.52, 6,700 and 2,967.19

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Solution

The fourth proportional to 4,854.52, 6,700 and 2,967.19 is: 4,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.52 : 6,700 = 2,967.19 : x
  2. Step 2: Convert to fraction form
    4,854.52/6,700 = 2,967.19/x
  3. Step 3: Cross multiply
    4,854.52x = 6,700 × 2,967.19
  4. Step 4: Simplify right side
    4,854.52x = 19,880,173
  5. Step 5: Solve for x
    x = 19,880,173/4,854.52
  6. Step 6: Final answer
    x = 4,095.19

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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.