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Finding the Fourth Proportional to 5,297.72, 7,312.28 and 3,307.07

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Solution

The fourth proportional to 5,297.72, 7,312.28 and 3,307.07 is: 4,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.72 : 7,312.28 = 3,307.07 : x
  2. Step 2: Convert to fraction form
    5,297.72/7,312.28 = 3,307.07/x
  3. Step 3: Cross multiply
    5,297.72x = 7,312.28 × 3,307.07
  4. Step 4: Simplify right side
    5,297.72x = 24,182,223.56
  5. Step 5: Solve for x
    x = 24,182,223.56/5,297.72
  6. Step 6: Final answer
    x = 4,564.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.