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Finding the Fourth Proportional to 4,607.66, 6,909.32 and 1,527.50

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Solution

The fourth proportional to 4,607.66, 6,909.32 and 1,527.50 is: 2,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.66 : 6,909.32 = 1,527.50 : x
  2. Step 2: Convert to fraction form
    4,607.66/6,909.32 = 1,527.50/x
  3. Step 3: Cross multiply
    4,607.66x = 6,909.32 × 1,527.50
  4. Step 4: Simplify right side
    4,607.66x = 10,553,986.30
  5. Step 5: Solve for x
    x = 10,553,986.30/4,607.66
  6. Step 6: Final answer
    x = 2,290.53

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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.