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Finding the Fourth Proportional to 4,567, 6,315.42 and 4,360.72

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Solution

The fourth proportional to 4,567, 6,315.42 and 4,360.72 is: 6,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567 : 6,315.42 = 4,360.72 : x
  2. Step 2: Convert to fraction form
    4,567/6,315.42 = 4,360.72/x
  3. Step 3: Cross multiply
    4,567x = 6,315.42 × 4,360.72
  4. Step 4: Simplify right side
    4,567x = 27,539,778.30
  5. Step 5: Solve for x
    x = 27,539,778.30/4,567
  6. Step 6: Final answer
    x = 6,030.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.