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Finding the Fourth Proportional to 4,641.18, 6,402.59 and 3,047.21

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Solution

The fourth proportional to 4,641.18, 6,402.59 and 3,047.21 is: 4,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.18 : 6,402.59 = 3,047.21 : x
  2. Step 2: Convert to fraction form
    4,641.18/6,402.59 = 3,047.21/x
  3. Step 3: Cross multiply
    4,641.18x = 6,402.59 × 3,047.21
  4. Step 4: Simplify right side
    4,641.18x = 19,509,989.02
  5. Step 5: Solve for x
    x = 19,509,989.02/4,641.18
  6. Step 6: Final answer
    x = 4,203.67

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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.