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Finding the Fourth Proportional to 3,047.51, 4,567.14 and 1,583.70

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Solution

The fourth proportional to 3,047.51, 4,567.14 and 1,583.70 is: 2,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.51 : 4,567.14 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    3,047.51/4,567.14 = 1,583.70/x
  3. Step 3: Cross multiply
    3,047.51x = 4,567.14 × 1,583.70
  4. Step 4: Simplify right side
    3,047.51x = 7,232,979.62
  5. Step 5: Solve for x
    x = 7,232,979.62/3,047.51
  6. Step 6: Final answer
    x = 2,373.41

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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.