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Finding the Fourth Proportional to 5,307.09, 7,960.06 and 1,411.89

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Solution

The fourth proportional to 5,307.09, 7,960.06 and 1,411.89 is: 2,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.09 : 7,960.06 = 1,411.89 : x
  2. Step 2: Convert to fraction form
    5,307.09/7,960.06 = 1,411.89/x
  3. Step 3: Cross multiply
    5,307.09x = 7,960.06 × 1,411.89
  4. Step 4: Simplify right side
    5,307.09x = 11,238,729.11
  5. Step 5: Solve for x
    x = 11,238,729.11/5,307.09
  6. Step 6: Final answer
    x = 2,117.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.