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Finding the Fourth Proportional to 6,594.59, 9,100.06 and 3,762.08

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Solution

The fourth proportional to 6,594.59, 9,100.06 and 3,762.08 is: 5,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.59 : 9,100.06 = 3,762.08 : x
  2. Step 2: Convert to fraction form
    6,594.59/9,100.06 = 3,762.08/x
  3. Step 3: Cross multiply
    6,594.59x = 9,100.06 × 3,762.08
  4. Step 4: Simplify right side
    6,594.59x = 34,235,153.72
  5. Step 5: Solve for x
    x = 34,235,153.72/6,594.59
  6. Step 6: Final answer
    x = 5,191.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.