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Finding the Fourth Proportional to 5,657.64, 8,529.89 and 5,276.51

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Solution

The fourth proportional to 5,657.64, 8,529.89 and 5,276.51 is: 7,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.64 : 8,529.89 = 5,276.51 : x
  2. Step 2: Convert to fraction form
    5,657.64/8,529.89 = 5,276.51/x
  3. Step 3: Cross multiply
    5,657.64x = 8,529.89 × 5,276.51
  4. Step 4: Simplify right side
    5,657.64x = 45,007,980.85
  5. Step 5: Solve for x
    x = 45,007,980.85/5,657.64
  6. Step 6: Final answer
    x = 7,955.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.