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Finding the Fourth Proportional to 5,307.17, 7,322.03 and 3,317.00

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Solution

The fourth proportional to 5,307.17, 7,322.03 and 3,317.00 is: 4,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.17 : 7,322.03 = 3,317.00 : x
  2. Step 2: Convert to fraction form
    5,307.17/7,322.03 = 3,317.00/x
  3. Step 3: Cross multiply
    5,307.17x = 7,322.03 × 3,317.00
  4. Step 4: Simplify right side
    5,307.17x = 24,287,120.31
  5. Step 5: Solve for x
    x = 24,287,120.31/5,307.17
  6. Step 6: Final answer
    x = 4,576.29

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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.