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Finding the Fourth Proportional to 5,007.14, 7,509.84 and 1,497.06

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Solution

The fourth proportional to 5,007.14, 7,509.84 and 1,497.06 is: 2,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.14 : 7,509.84 = 1,497.06 : x
  2. Step 2: Convert to fraction form
    5,007.14/7,509.84 = 1,497.06/x
  3. Step 3: Cross multiply
    5,007.14x = 7,509.84 × 1,497.06
  4. Step 4: Simplify right side
    5,007.14x = 11,242,681.07
  5. Step 5: Solve for x
    x = 11,242,681.07/5,007.14
  6. Step 6: Final answer
    x = 2,245.33

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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.