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Finding the Fourth Proportional to 4,351.64, 6,527.54 and 1,064.76

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Solution

The fourth proportional to 4,351.64, 6,527.54 and 1,064.76 is: 1,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.64 : 6,527.54 = 1,064.76 : x
  2. Step 2: Convert to fraction form
    4,351.64/6,527.54 = 1,064.76/x
  3. Step 3: Cross multiply
    4,351.64x = 6,527.54 × 1,064.76
  4. Step 4: Simplify right side
    4,351.64x = 6,950,263.49
  5. Step 5: Solve for x
    x = 6,950,263.49/4,351.64
  6. Step 6: Final answer
    x = 1,597.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.