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Finding the Fourth Proportional to 5,070.85, 7,606.26 and 2,297.00

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Solution

The fourth proportional to 5,070.85, 7,606.26 and 2,297.00 is: 3,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.85 : 7,606.26 = 2,297.00 : x
  2. Step 2: Convert to fraction form
    5,070.85/7,606.26 = 2,297.00/x
  3. Step 3: Cross multiply
    5,070.85x = 7,606.26 × 2,297.00
  4. Step 4: Simplify right side
    5,070.85x = 17,471,598.24
  5. Step 5: Solve for x
    x = 17,471,598.24/5,070.85
  6. Step 6: Final answer
    x = 3,445.50

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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.