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Finding the Fourth Proportional to 6,341.34, 8,750.46 and 3,688.71

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Solution

The fourth proportional to 6,341.34, 8,750.46 and 3,688.71 is: 5,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.34 : 8,750.46 = 3,688.71 : x
  2. Step 2: Convert to fraction form
    6,341.34/8,750.46 = 3,688.71/x
  3. Step 3: Cross multiply
    6,341.34x = 8,750.46 × 3,688.71
  4. Step 4: Simplify right side
    6,341.34x = 32,277,909.31
  5. Step 5: Solve for x
    x = 32,277,909.31/6,341.34
  6. Step 6: Final answer
    x = 5,090.08

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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.