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Finding the Fourth Proportional to 5,007.41, 7,510.54 and 1,310.00

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Solution

The fourth proportional to 5,007.41, 7,510.54 and 1,310.00 is: 1,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.41 : 7,510.54 = 1,310.00 : x
  2. Step 2: Convert to fraction form
    5,007.41/7,510.54 = 1,310.00/x
  3. Step 3: Cross multiply
    5,007.41x = 7,510.54 × 1,310.00
  4. Step 4: Simplify right side
    5,007.41x = 9,838,780.87
  5. Step 5: Solve for x
    x = 9,838,780.87/5,007.41
  6. Step 6: Final answer
    x = 1,964.84

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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.