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Finding the Fourth Proportional to 4,677.59, 6,457.71 and 3,730.34

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Solution

The fourth proportional to 4,677.59, 6,457.71 and 3,730.34 is: 5,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.59 : 6,457.71 = 3,730.34 : x
  2. Step 2: Convert to fraction form
    4,677.59/6,457.71 = 3,730.34/x
  3. Step 3: Cross multiply
    4,677.59x = 6,457.71 × 3,730.34
  4. Step 4: Simplify right side
    4,677.59x = 24,089,421.63
  5. Step 5: Solve for x
    x = 24,089,421.63/4,677.59
  6. Step 6: Final answer
    x = 5,149.97

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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.