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Finding the Fourth Proportional to 5,307.30, 7,314.56 and 4,315.86

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Solution

The fourth proportional to 5,307.30, 7,314.56 and 4,315.86 is: 5,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.30 : 7,314.56 = 4,315.86 : x
  2. Step 2: Convert to fraction form
    5,307.30/7,314.56 = 4,315.86/x
  3. Step 3: Cross multiply
    5,307.30x = 7,314.56 × 4,315.86
  4. Step 4: Simplify right side
    5,307.30x = 31,568,616.92
  5. Step 5: Solve for x
    x = 31,568,616.92/5,307.30
  6. Step 6: Final answer
    x = 5,948.15

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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.