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Finding the Fourth Proportional to 5,043, 7,565.72 and 1,580.25

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Solution

The fourth proportional to 5,043, 7,565.72 and 1,580.25 is: 2,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043 : 7,565.72 = 1,580.25 : x
  2. Step 2: Convert to fraction form
    5,043/7,565.72 = 1,580.25/x
  3. Step 3: Cross multiply
    5,043x = 7,565.72 × 1,580.25
  4. Step 4: Simplify right side
    5,043x = 11,955,721.13
  5. Step 5: Solve for x
    x = 11,955,721.13/5,043
  6. Step 6: Final answer
    x = 2,370.76

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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.