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Finding the Fourth Proportional to 4,230.56, 6,341.63 and 2,038.10

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Solution

The fourth proportional to 4,230.56, 6,341.63 and 2,038.10 is: 3,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 6,341.63 = 2,038.10 : x
  2. Step 2: Convert to fraction form
    4,230.56/6,341.63 = 2,038.10/x
  3. Step 3: Cross multiply
    4,230.56x = 6,341.63 × 2,038.10
  4. Step 4: Simplify right side
    4,230.56x = 12,924,834.20
  5. Step 5: Solve for x
    x = 12,924,834.20/4,230.56
  6. Step 6: Final answer
    x = 3,055.11

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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.