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Finding the Fourth Proportional to 4,697.56, 7,045.56 and 2,064.46

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Solution

The fourth proportional to 4,697.56, 7,045.56 and 2,064.46 is: 3,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.56 : 7,045.56 = 2,064.46 : x
  2. Step 2: Convert to fraction form
    4,697.56/7,045.56 = 2,064.46/x
  3. Step 3: Cross multiply
    4,697.56x = 7,045.56 × 2,064.46
  4. Step 4: Simplify right side
    4,697.56x = 14,545,276.80
  5. Step 5: Solve for x
    x = 14,545,276.80/4,697.56
  6. Step 6: Final answer
    x = 3,096.35

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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.