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Finding the Fourth Proportional to 4,663.42, 6,435.48 and 2,567.50

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Solution

The fourth proportional to 4,663.42, 6,435.48 and 2,567.50 is: 3,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.42 : 6,435.48 = 2,567.50 : x
  2. Step 2: Convert to fraction form
    4,663.42/6,435.48 = 2,567.50/x
  3. Step 3: Cross multiply
    4,663.42x = 6,435.48 × 2,567.50
  4. Step 4: Simplify right side
    4,663.42x = 16,523,094.90
  5. Step 5: Solve for x
    x = 16,523,094.90/4,663.42
  6. Step 6: Final answer
    x = 3,543.13

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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.