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Finding the Fourth Proportional to 5,672.50, 8,509.65 and 2,386.53

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Solution

The fourth proportional to 5,672.50, 8,509.65 and 2,386.53 is: 3,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.50 : 8,509.65 = 2,386.53 : x
  2. Step 2: Convert to fraction form
    5,672.50/8,509.65 = 2,386.53/x
  3. Step 3: Cross multiply
    5,672.50x = 8,509.65 × 2,386.53
  4. Step 4: Simplify right side
    5,672.50x = 20,308,535.01
  5. Step 5: Solve for x
    x = 20,308,535.01/5,672.50
  6. Step 6: Final answer
    x = 3,580.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.