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Finding the Fourth Proportional to 5,266.16, 7,266.52 and 2,908.40

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Solution

The fourth proportional to 5,266.16, 7,266.52 and 2,908.40 is: 4,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.16 : 7,266.52 = 2,908.40 : x
  2. Step 2: Convert to fraction form
    5,266.16/7,266.52 = 2,908.40/x
  3. Step 3: Cross multiply
    5,266.16x = 7,266.52 × 2,908.40
  4. Step 4: Simplify right side
    5,266.16x = 21,133,946.77
  5. Step 5: Solve for x
    x = 21,133,946.77/5,266.16
  6. Step 6: Final answer
    x = 4,013.16

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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.