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Finding the Fourth Proportional to 4,868.32, 7,303.14 and 1,580.35

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Solution

The fourth proportional to 4,868.32, 7,303.14 and 1,580.35 is: 2,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.32 : 7,303.14 = 1,580.35 : x
  2. Step 2: Convert to fraction form
    4,868.32/7,303.14 = 1,580.35/x
  3. Step 3: Cross multiply
    4,868.32x = 7,303.14 × 1,580.35
  4. Step 4: Simplify right side
    4,868.32x = 11,541,517.30
  5. Step 5: Solve for x
    x = 11,541,517.30/4,868.32
  6. Step 6: Final answer
    x = 2,370.74

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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.