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Finding the Fourth Proportional to 4,823.64, 7,235.00 and 1,536.15

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Solution

The fourth proportional to 4,823.64, 7,235.00 and 1,536.15 is: 2,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.64 : 7,235.00 = 1,536.15 : x
  2. Step 2: Convert to fraction form
    4,823.64/7,235.00 = 1,536.15/x
  3. Step 3: Cross multiply
    4,823.64x = 7,235.00 × 1,536.15
  4. Step 4: Simplify right side
    4,823.64x = 11,114,037.57
  5. Step 5: Solve for x
    x = 11,114,037.57/4,823.64
  6. Step 6: Final answer
    x = 2,304.08

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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.