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Finding the Fourth Proportional to 5,288.93, 7,298.94 and 2,931.06

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Solution

The fourth proportional to 5,288.93, 7,298.94 and 2,931.06 is: 4,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.93 : 7,298.94 = 2,931.06 : x
  2. Step 2: Convert to fraction form
    5,288.93/7,298.94 = 2,931.06/x
  3. Step 3: Cross multiply
    5,288.93x = 7,298.94 × 2,931.06
  4. Step 4: Simplify right side
    5,288.93x = 21,393,631.08
  5. Step 5: Solve for x
    x = 21,393,631.08/5,288.93
  6. Step 6: Final answer
    x = 4,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.